Knowing how to convert percentages to decimals and back again is a valuable math skill and is certainly helpful for understanding your finances. Whether you’re making quick estimates in your head, using a calculator, or modeling your car loan on a spreadsheet, you need to know how decimals and percentages are related.
Divide by 100
Most interest rates are quoted and advertised in terms of a percentage. But if you want to run calculations using those numbers, you’ll need to convert them to decimal format. The simplest way to do that is to divide the number by 100.
Example: To convert 75% to decimal format, divide 75 by 100.
Search engines such as Google and Bing also make it easy to do quick calculations online, or you can also fire up your favorite calculator app if you prefer. To calculate with a search engine, type the expression you’re trying to solve into the search field. For example, type in “75/100.”
Move the Decimal Point to the Left
Another simple way to convert a quoted percentage to decimal format is to move the decimal two places to the left.
If you don’t actually see a decimal, just imagine that it’s at the end, or far right side, of the number. Imagine that the decimal is followed by two zeroes if that helps (so 75 is 75.00).
Example: To convert 75% to decimal format, move the decimal point before the 7.
After you do this several times, it will become natural, and you’ll be able to do it instantly in your head.
With more complex numbers, you’ll still just move the decimal over two places. Here are a few more examples:
 100% = 1
 150% = 1.5
 75.435% = .75435
 .5% = .005
Example: APY Earnings
Assume your bank pays a 1.25% annual percentage yield (APY) on your savings account. How much will you earn over one year if you deposit $100?
To find out, convert the interest rate to decimal format and multiply the result by the amount of your deposit.
You'll earn $1.25 per year for every $100 that you deposit.
Use an asterisk (or * symbol) to multiply numbers when using a spreadsheet or search engine.
Example: Purchase Discounts
Let's say you want to buy an item that normally costs $45, and it's on sale at 30% off. How much would you save, and how much would it cost on sale?
You would pay $31.50 and save $13.50 on the item.
Converting Decimals to Percentages
What if you want to go the other way and convert a number from decimal to percentage format? As you might have guessed, just do the opposite of what you did above.
Multiply by 100
An easy approach is to multiply a number in decimal format by 100.
Example: To convert .75 to a percentage, multiply it by 100.
Move the Decimal Point to the Right
Another way to convert from decimal to percentage format is to move the decimal point two places to the right.
Example: To convert .75 to a percentage, move the decimal point to after the 5.
The Big Picture
For better or worse, sometimes financial calculations like this only give you a rough idea of how much you’ll spend or earn, although that estimate is still useful for making quick, bigpicture evaluations.
Converting a percentage to a decimal using the methods above is accurate, but it's important to know what to do with that number after you’ve converted it. The next example shows how simple calculations with dollar amounts can lead you astray.
Assume you’ll borrow $100,000 to purchase a home with a 30year mortgage, and the interest rate is 6% per year. How much will you spend on interest each year?
To get a rough, but not the exact answer, convert the interest rate to decimal format and multiply the result by the amount you borrow:
However, you won’t spend exactly $6,000 per year on interest unless you use an interestonly loan. The real answer for most fixedrate home loans would be more like $5,966.59 for the first year.
With standard home and auto loans, you usually pay down the debt over time using level monthly payments. With each payment, a portion of the payment reduces your loan balance, and the remaining portion covers your interest cost.
As you’re paying down the loan balance, there will only be a brief period, just the first month, when you owe the full $100,000. After that, you’ll owe less each month, and your interest costs will decrease accordingly. That process is called amortization.
If you want to calculate your exact interest payments on a loan, you can learn how to build an amortization table.
Frequently Asked Questions (FAQs)
How do you change a fraction to a percent?
To change a fraction to a percent, you first have to convert the fraction to a decimal by dividing the top number by the bottom number. From there, move the decimal two numbers to the right and make it a percent. For example, 3/4 becomes 3 ÷ 4 = 0.75 or 75%.
How do you round a decimal to the nearest tenth of a percent?
A tenth of a percent in decimal form is 0.001. If you have a figure that has more than three numbers after the decimal, you round it by looking at the fourth number (a hundredth of a percent). If that number is five or more, then you round the tenth of a percent up. If the number is four or less, then you round down and keep the tenth of a percent as it is. For example, 0.0015 would become 0.002, but 0.0014 would become 0.001.
The Percent to Decimal Calculator over here will convert percent value to decimal value. Make your calculations faster with the simple tool as all you need to do is provide the input percent value and tap on the enter button to acquire the resultant decimal value.
Ex: 25.58 (or) 46 (or) 57
Here are some samples of Percentage to Decimal conversion calculations.
 44 Percentage to Decimal
 82 Percentage to Decimal
 80 Percentage to Decimal
 11 Percentage to Decimal
 85 Percentage to Decimal
 79 Percentage to Decimal
 64 Percentage to Decimal
 88 Percentage to Decimal
 81 Percentage to Decimal
 13 Percentage to Decimal
 53 Percentage to Decimal
 40 Percentage to Decimal
 52 Percentage to Decimal
 73 Percentage to Decimal
 41 Percentage to Decimal
 16 Percentage to Decimal
 90 Percentage to Decimal
 83 Percentage to Decimal
 12 Percentage to Decimal
 49 Percentage to Decimal
 76 Percentage to Decimal
 61 Percentage to Decimal
 26 Percentage to Decimal
 58 Percentage to Decimal
How to Convert Percent to Decimal?
At times, you need to convert a percent value to decimal form to use it in other equations. The decimal form will not have any symbol. Percent literally means per “100” and you can use the same funda to convert percent to the decimal value. Simply divide the percent value by 100 and remove the % symbol.
Formula to convert percent value to decimal is given by d = p÷ 100
Move the decimal point to left
The simple way to convert percentage value to decimals is to move the decimal two places to left. If you don’t see a decimal, imagine it’s at the end or far right side of the number.
Understand useful math calculations in seconds with the help of free online tools provided for all the concepts at percentagecalculator.guru
FAQs on Percent to Decimal Conversion
1. How do you convert a percent to a decimal?
Divide a percent by 100 and remove the percent sign to convert from a percent to a decimal. Another way is to move the decimal two places left.
2. What is the formula to convert percent to decimal?
The formula to convert percent to decimal is d = p÷ 100
3. Where do I get solved examples on percent to decimal conversion?
You can find solved examples on percent to decimal conversion step by step on our page.
This percentage to decimal converter will convert a percent into a decimal.
Plus, each conversion result substitutes the entered percentage into the percent to decimal formula and solves it.
And finally, each conversion result also includes two shortcut methods for converting the entered decimal into a percent.
If you wish to change a decimal to percent, please visit the Decimal to Percentage Converter.
Also on this page:
Percent to Decimal Calculator
Convert a percentage to a decimal number and see the three methods.
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Instructions
How to use the Percent to Decimal Calculator
IMPORTANT: Numeric entry fields must not contain dollar signs, percent signs, commas, spaces, etc. (only digits 09 and decimal points are allowed).
Click the Terms tab above for a more detailed description of each entry.
Step #1:
Enter a percent without the percent sign.
Step #2:
Click the “Convert Percent to Decimal” button, which will display the result of the conversion and generate a stepbystep explanation showing how the calculator arrived at the result.
Glossary
Fields, Terms, and Definitions.
Clicking the “Reset” button will restore the calculator to its default settings.
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Learn
How to convert a percent into a decimal number.
How to Convert a Percent to a Decimal
There are three different methods for converting percentages into decimals.
To illustrate the three methods, suppose you were asked to convert 5 percent to a decimal.
So we can see that the percentage 5% converts to the decimal number 0.05.
Or, as a second example, suppose you were asked to change 34.55 percent to a decimal.
So we can see that the percentage 34.55% converts to the decimal number 0.3455.
Percent to Decimal Conversion Table
Based on your selections you can create your own custom percent to decimal conversion chart.
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Adjust Calculator Width:
Move the slider to left and right to adjust the calculator width. Note that the Help and Tools panel will be hidden when the calculator is too wide to fit both on the screen. Moving the slider to the left will bring the instructions and tools panel back into view.
Also note that some calculators will reformat to accommodate the screen size as you make the calculator wider or narrower. If the calculator is narrow, columns of entry rows will be converted to a vertical entry form, whereas a wider calculator will display columns of entry rows, and the entry fields will be smaller in size . since they will not need to be “thumb friendly”.
Show/Hide Popup Keypads:
Select Show or Hide to show or hide the popup keypad icons located next to numeric entry fields. These are generally only needed for mobile devices that don’t have decimal points in their numeric keypads. So if you are on a desktop, you may find the calculator to be more userfriendly and less cluttered without them.
Stick/Unstick Tools:
Select Stick or Unstick to stick or unstick the help and tools panel. Selecting “Stick” will keep the panel in view while scrolling the calculator vertically. If you find that annoying, select “Unstick” to keep the panel in a stationary position.
If the tools panel becomes “Unstuck” on its own, try clicking “Unstick” and then “Stick” to restick the panel.
The decimal to percentage converter (a.k.a. convert decimal to percent calculator) lets you turn a decimal value into a percentage. As it calculates in both directions, it can also serve you as the percent to decimal converter.
Read the text below to learn how to convert decimal to percent and turn percent to decimal on your own.
If you want to learn more about decimals and ratios, check out our calculators:

, , ,
 and time to decimal.
What are decimals? – an introduction
Let’s start with some definitions.
Hindu–Arabic numeral system (or IndoArabic numeral system) is the decimal positional system, nowadays the most commonly used numeral system in the world. Other systems include the binary and hexadecimal system.
Let’s explain what it means. “Decimal” means the system is based on 10. “Positional notation” means we assign a different value to a symbol depending on its position. For example, digit “3” in “13” equals 3, but in “342” it equals 300.
The system is much more practical than alternatives like representing numbers with lines (that’s what some ancients would do). So instead of having “” you just write “15”. This way, using ten symbols (09), we can represent any rational number.
If we were to write a general formula for a 4digit number, it could look like this:
a₃a₂a₁a₀ = a₃*1,000 + a₂*100 + a₁*10 + a₀*1
The symbol “a” here stands for a digit from 0 to 9. The index next to “a” denotes the digit’s place (we count from 0, from right to left).
To get the number (right side of the equation), we multiply each digit by the powers of ten (1, 10, 100, . ). The indexes tell us how many zeros the powers of ten have to have. If a digit is on the “zeroth” place, we multiply by 1, on the first – by 10, on the second – 100, on the third – 1000, and so on.
We call places in the number after the powers of ten – the one’s place, the ten’s place, the hundred’s place, and so on.
Take a look at examples:
145 = 1*100 + 4*10 + 5
43210 = 4*10000 + 3*1000 + 2*100 + 1*10 + 0*1
Now, what if you want to write down a decimal fraction?
The answer to the problem is using a decimal point – a dot (or a comma) – to separate whole numbers from fractions.
a₂a₁a₀.b₁b₂b₃ = a₂*100 + a₁*10 + a₀*1 + b₁/10 + b₂/100 + b₃/1000
To the left from dot we multiply by ten, to the right – we divide by ten.
376.49 = 3*100 + 7*10 + 6 + 4/10 + 9/100
0.321 = 0*1 + 3/10 + 2/100 + 1/1000
What are percents? – an introduction
Percent means “out of a hundred” (from Latin) and represents a ratio or number as a fraction of 100. We denote it with the percent sign “%”:
For example, 15% is equal to 15/100 and means “fifteen out of hundred”.
Examples:
“40% of students in our school are female”. The sentence implies that if the school has 100 students, 40 of them are girls.
If you have a bowl with 100 corn flakes and you’ve eaten 20%, it means you’ve eaten 20 out of 100, so 20 flakes.
But it’s not like we only talk about percents when there’s 100 of something. Percents represent a ratio. Let’s go through another example:
In a forest, 60% of trees are deciduous trees. 10,000 trees grow in the forest. How many deciduous trees are there?
Remember:
1% = 1 / 100 .
In this case:
60% = 60 / 100 .
Once we have the fraction form, we can transform it. We know we have 10,000 trees, so we need to change the denominator:
60/100 = 60*100 / 100*100
60/100 = 6,000 / 10,000
The denominator expresses the number of all the trees, the numerator – the number of deciduous trees. Here is the answer – there are 6,000 leafy trees.
Both percents and decimals are common ways of representing fractions; let’s learn how to convert between them.
? We also use percent to express the relative error between the observed and true values in any measurement. To learn how to do that, check our percent error calculator.
How to convert decimal to percent by hand?
This type of conversion is quite simple, so you should be able to do it without the decimal to percent calculator. You just need this formula:
percent = decimal * 100
To turn decimal to a percent, multiply the decimal by 100%.
How to turn a decimal into a percent? – examples
Let’s see how to turn a decimal into a percent in the below cases:
0.45372 = 0.45372 * 100%
Notice all you need to do is moving the decimal point two places to the right.
23.456 = 23.456 * 100%
You can practice with other numbers and check your answers using the decimal to percentage converter.
How to use the decimal to percentage converter?
To use our convert decimal to percent calculator:
Input the decimal number you want to convert in the first field of the decimal to percentage calculator.
The decimal to percentage calculator will display the result below.
How to convert percent to a decimal by hand?
To convert percent to decimal, simply divide by 100:
decimal = percent / 100
Let’s say you’ve eaten 20% of a cake. To express this piece of cake as a decimal fraction, divide 20 by 100:
How to turn a percent into a decimal? – examples
As always, a good bunch of examples will help you to understand how to turn a percent into a decimal:
0.022% = 0.022 / 100
Again, all we’re doing here is moving the decimal point two places to the left.
Come up with your own examples and check your results using this calculator as a percentage to decimal converter.
Use our tool as a percentage to decimal converter
As we mentioned it many times before, you can use our calculator as a percentage to decimal converter:
Calculator for percentage. Converting numbers between % percent versus full or decimal numbers’ maths values.
What’s the % to a normal number?
Enter Value:
Precision:
Choose a From unit :
Choose a To unit :
For instance 75% is equivalent to either 0.75 decimal number or 75 ⁄_{100} ≡ ¾ fraction numbers exactly. Such simple but very accurate tool can be truly handy e.g. when developing or decrypting (an advanced) baking formula, where it is common actually. In mathematics we use percentage numbers x% plus fractions and decimals. With them, the equally same or different mathematical values may be shown and, various pct calculations can be made. Sign percent % can be abbreviated with three letters pct. Use the table further below for the math conversion results.
Calculate percentages between two numbers
Maths formula from decimal into percentage outcome –
Firstly multiply the decimal number times number 100. Then add to the result the “%” character. Learn from the following corresponding examples.
 0.3 decimal number to percent: 0.3 × 100 = 30%
 0.85 decimal number to percent: 0.85 × 100 = 85%
 1 decimal number to percent: 1 × 100 = 100%
 6 decimal number to percent: 6 × 100 = 600%
 15 decimal number to percent: 15 × 100 = 1,500%
 33 decimal number to percent: 33 × 100 = 3,300%
 33.333 decimal number to percent: 33.333 × 100 = 3,333.3%
 77.5 decimal number to percent: 77.5 × 100 = 7,750%
 100 decimal number to percent: 100 × 100 = 10,000%
 125 decimal number to percent: 125 × 100 = 12,500%
Maths formula from percentage into decimal result –
First divide the number in percent by 100 value, then take off the “%” character from the outcome. Learn from a few percent to decimals calculation examples.
 0.7 percent to decimal number: 0.7% ÷ 100 = 0.007 decimal
 1 percent to decimal number: 1% ÷ 100 = 0.01 decimal
 5 percent to decimal number: 5% ÷ 100 = 0.05 decimal
 10 percent to decimal number: 10% ÷ 100 = 0.1 decimal
 25 percent to decimal number: 25% ÷ 100 = 0.25 decimal
 50 percent to decimal number: 50% ÷ 100 = 0.5 decimal
 55 percent to decimal number: 55% ÷ 100 = 0.55 decimal
 75 percent to decimal number: 75% ÷ 100 = 0.75 decimal
 90 percent to decimal number: 90% ÷ 100 = 0.9 decimal
 95.3 percent to decimal number: 95.3% ÷ 100 = 0.953 decimal
 99 percents to decimal number: 99% ÷ 100 = 0.99 decimal
 100 percent to decimal number: 100% ÷ 100 = 1 decimal
 120 percent to decimal number: 120% ÷ 100 = 1.2 decimal
Common percentage to decimal numbers to fractions conversions
chart for: Percentage conversions  
Percent equals  Decimal № equals  Fraction equals 
0.1%  0.001  1 ⁄_{1,000} 
0.125%  0.00125  1 ⁄_{800} 
0.5%  0.005  1 ⁄_{200} 
0.75%  0.0075  7.5 ⁄_{1000} 
0.9%  0.009  9 ⁄_{1,000} 
1%  0.01  1 ⁄_{100} 
1.1%  0.011  11 ⁄_{1,000} 
1.25%  0.0125  12.5 ⁄_{1,000} 
1.5%  0.015  3 ⁄_{200} 
1.9%  0.019  19 ⁄_{1,000} 
2%  0.02  1 ⁄_{50} 
2.5%  0.025  1 ⁄_{40} 
3.333%  0.033  33 ⁄_{1,000} 
5%  0.05  1 ⁄_{20} 
7.5%  0.075  3 ⁄_{40} 
10%  0.1  1 ⁄_{10} 
12%  0.12  3 ⁄_{25} 
12.5%  0.125  1 ⁄_{8} 
20%  0.2  1 ⁄_{5} 
25%  0.25  1 ⁄_{4} 
30%  0.3  3 ⁄_{10} 
33%  0.33  33 ⁄_{100} 
percent  decimal #  fractions 
33.33%  0.333  333 ⁄_{1,000} 
40%  0.4  2 ⁄_{5} 
45%  0.45  9 ⁄_{20} 
49%  0.49  49 ⁄_{100} 
50%  0.5  1 ⁄_{2} 
55%  0.55  11 ⁄_{20} 
60%  0.6  3 ⁄_{5} 
65%  0.65  13 ⁄_{20} 
66%  0.66  33 ⁄_{50} 
70%  0.7  7 ⁄_{10} 
75%  0.75  3 ⁄_{4} 
80%  0.8  4 ⁄_{5} 
82%  0.82  41 ⁄_{50} 
85%  0.85  17 ⁄_{20} 
90%  0.9  9 ⁄_{10} 
91%  0.91  91 ⁄_{100} 
95%  0.95  19 ⁄_{20} 
99%  0.99  99 ⁄_{100} 
100%  1  100 ⁄_{1} 
percent  decimal #  fractions 
101%  1.01  1 1 ⁄_{100} 
110%  1.1  1 1 ⁄_{10} 
125%  1.25  1 1 ⁄_{4} 
200%  2  2 ⁄_{1} 
300%  3  3 ⁄_{1} 
1,000%  10  10 ⁄_{1} 
1,001%  10.01  10 1 ⁄_{100} 
1,100%  11  11 ⁄_{1} 
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Calculating percentages is an easy mathematical process to carry out. Sometimes, when there is the need to find the ratio or portion of a quantity as a part of another quantity, you will need to express it as a percentage. In this article, we show you what percentages are, how to calculate them and everyday examples of their use.
What are percentages?
Mathematically, percentages are either numbers or ratios that are expressed as fractions of 100. They are usually denoted as "%" or simply "percent." They may be further represented as simple fractions or as decimal fractions. An example of a percentage is 65% or 65 percent.
The term percentage was formed from two words, “per” and “cent.” Cent is a word with Latin and French origin that means "hundred," and "percent" means "per hundred." For example, 90 percent (or 90%) means 90 out of 100 while 50 percent (or 50%) means 50 out of 100 or half of a whole.
How to calculate percentages
There are many online calculators to find percentages, but percentages can be calculated manually by following these steps:
Determine the initial format of the number to be converted to a percentage
Carry out a mathematical process on the number to be converted to a percentage
Multiply the result of the mathematical process by 100
1. Determine the initial format of the number to be converted to a percentage
The number to be converted to a percentage can either be in the decimal or fraction format. A good example of a decimal number is 0.57, which may be the calculated ratio of the values you are comparing, while an example of a fraction is 3/20. The initial format will determine the next mathematical process to be carried out on the number.
2. Carry out a mathematical process on the number to be converted to a percentage
If the number to be converted to a percentage is a decimal number like 0.57, you may not need to do anything to it before you go to the next step. However, if it is a fraction like 3/20, you should first divide the numerator (3 in this case) by the denominator (20 in this case) to get a decimal number.
3. Multiply the result of the mathematical process by 100
If you are required to convert a decimal number like 0.57 to a percentage, you are to simply multiply it by 100. That is, 0.57 x 100 = 57. Therefore, 0.57 as a percentage = 57% or 57 percent. Another example of converting a decimal to a percentage is 0.03 x 100 = 3% or 3 percent.
However, if you are required to convert 3/20 to a percentage, you should divide 3 by 20 = 0.15. Then multiply 0.15 by 100 = 15% or 15 percent.
Another example is if you are to convert 5/10 to a percentage, you should divide 5 by 10 = 0.5. Then, multiply 0.5 by 100. Therefore, 0.5 x 100 = 50% or 50 percent.
How to calculate percentages by working backward
Sometimes, you will be required to calculate percentages by working backward. This is also referred to as reverse percentages and it is used when the percentage and the final number are given and the original number is to be calculated.
For example, if 40% of a number is 500, what is the number? The following are ways to calculate the percentage by working backward:
Find the percentage of the original or real number
Multiply the final number by 100
Divide the result of the multiplication by the percentage
1. Find the percentage of the original or real number
The percentage of the original number as given in the math problem is 40%.
2. Multiply the final number by 100
You should multiply the final number as given in the math problem by 100. This implies that, 500 x 100 = 50,000.
3. Divide the result of the multiplication by the percentage
The next and final step is to divide the result of the multiplication carried out under step two by the percentage number given in the question. This implies that 50000/40 = 1,250. Therefore, the original number was 1,250.
Examples of percentages
Here are several examples of percentages and how to calculate them:
Convert the decimal number 3.25 to a percentage.
Convert the decimal number 0.65 to a percentage.
Convert the fraction 5/6 to a percentage.
Convert the fraction 60/100 to a percentage.
The price of a laptop was reduced by 30% to $120. What was the original price?
Find the sale price if a 20% discount is allowed off the marked price of $30.
Two years ago, a ticket to the football match was $20. This year, the price has been increased by 60%. What is the price of a ticket this year?
Convert the decimal number, 3.25 to a percentage
To convert the decimal number, 3.25 to a percentage, multiply it by 100. Therefore, 3.25 x 100= 325%
Convert the decimal number 0.65 to a percentage
To convert the decimal number 0.65 to a percentage, multiply 0.65 by 100. Therefore, 0.65 x 100 = 65%.
Convert the fraction 5/6 to a percentage
To convert the fraction 5/6 to a percentage, you should first convert 5/6 to a decimal by dividing the numerator 5 by the denominator 6. This implies that, 5/6= 0.833 to two decimal places. Then, multiply 0.83 by 100 = 83%.
Convert the fraction 60/100 to a percentage
To convert the fraction 60/100 to a percentage, you should first convert 60/100 to a decimal by dividing the numerator 60 by the denominator 100. This implies that 60/100 = 0.6. Then, multiply 0.6 by 100 = 60%.
The price of a laptop was reduced by 30% to $120. What was the original price?
To determine the original price, determine the percentage of the original price by subtracting 30% from 100. Next, multiply the final price by 100. That is, 120 x 100 = 12, 000. Finally, divide the result by the percentage calculated in step 1 above. This implies that, 12000/70 = $171.43. The original price is, therefore, $171.43 to two decimal places.
Find the sale price if a 20% discount is allowed off the marked price of $30.00
Convert the percentage to a decimal = 20/100=.20 and multiply the decimal by the original price to get the discount amount = .20 X $30=$6. The sale price = full price – discount = $30.00 – $6.00 = $24.00. Therefore, the sale price is $24.00
Two years ago, a ticket to the football match was $20.00. This year, the price has been increased by 60%. What is the price of a ticket this year?
Take the percentage increase 60%, divide it by 100 to determine the decimal form and multiply it by the original price = 60% of $20.00 = $12.00. Therefore, the price of the ticket this year = the initial price + the increase in the cost of the ticket = $20.00 + $12.00 = $32.00
You can use this basis points calculator to convert decimals and percentages into basis points, and vice versa. Simply input the value you want to convert into basis points, and the calculator will compute the output.
What are basis points?
Basis points (BPS) represent a unit that is employed to measure interest rates and other financial percentages. It is very simple to calculate basis points using a very straightforward formula. A basis point is equal to 1/100 th of a single percentage point. As such, it can be denoted as 0.01% or 0.0001 in decimal form.
Converting basis points to percentages
To convert basis points to percentages, you must first convert the basis point into a decimal. As one basis point is equivalent to 0.0001 as a decimal, you can quickly and easily convert basis points into a decimal by multiplying it by 0.0001.
For example, let’s say your mortgage was charged at a rate of 150 basis points. You can compute the basis points as a percentage by multiplying the basis points by 0.0001 (150 × 0.0001 = 0.015). As such, the decimal and percentage equivalent of your mortgage basis points is 0.015 or 1.5%. respectively. Essentially, this means that your mortgage has an interest rate of 1.5%.
Converting percentage to basis points
If you have a mortgage that is charged at an interest rate in percentage and want to calculate the basis points, all you need to do is reverse the approach outlined above. For instance, if your mortgage is charged at an interest rate of 1.5%, you should convert this to a decimal form by dividing it by 100, which is 0.015. Divide this figure by 0.0001 to determine the basis points: 150 basis points.
How to Calculate Percentages with a Calculator
1. If your calculator has a “%” button.
Let’s say you wanted to find 19 percent of 20. Press these buttons:
1 9 % * 2 0 =
The answer is 3.8.
2. If your calculator does not have a “%” button
Step 1: Remove the percent sign and add a couple of zeros after the decimal point.
19% becomes 19.00
Step 2: Convert the percent to a decimal by moving the decimal point two places to the left:
19.00 > .1900
Step 3: Press these buttons:
A different type of question
19 is what percentage of 20?
Step 1: Rewrite the question as a fraction. “19 out of 20” becomes:
19/20.
Step 2: Multiply Step 1 by 100:
(19/20) * 100 = 95
How to Calculate Percentages with Google
Did you know Google has a built in calculator? In other words, you can use the Google search feature to type in a question and the answer will pop up on a calculator. You could type it in just like you would on a calculator:
“19%*20”
OR
Google is very intuitive and will also give you a result if you just type “19% of 20” or even “19 percent of 20”!
alt=”how to calculate percentages” width=”300″ height=”69″ />
How to Calculate Percentages by hand: Steps
What is 19% of 20?
Step 1: Remove the percent sign and add a couple of zeros after the decimal point.
19% becomes 19.00
Step 2: Convert the percent to a decimal by moving the decimal point two places to the left:
19.00 > .1900
Step 3: Multiply Step 2 by the amount (in this case, 20):
.19 * 20 = 3.8.
19 is what percentage of 20?
Step 1: Rewrite the question as a fraction. “19 out of 20” becomes:
19/20.
Step 2: Multiply Step 1 by 100:
(19/20) * 100 = 95
References
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It’s very common when learning about fractions to want to know how convert a fraction like 2/5 into a percentage. In this stepbystep guide, we’ll show you how to turn any fraction into a percentage really easily. Let’s take a look!
Want to quickly learn or show students how to convert 2/5 to a percentage? Play this very quick and fun video now!
Before we get started in the fraction to percentage conversion, let’s go over some very quick fraction basics. Remember that a numerator is the number above the fraction line, and the denominator is the number below the fraction line. We’ll use this later in the tutorial.
When we are using percentages, what we are really saying is that the percentage is a fraction of 100. “Percent” means per hundred, and so 50% is the same as saying 50/100 or 5/10 in fraction form.
So, since our denominator in 2/5 is 5, we could adjust the fraction to make the denominator 100. To do that, we divide 100 by the denominator:
Once we have that, we can multiple both the numerator and denominator by this multiple:
Now we can see that our fraction is 40/100, which means that 2/5 as a percentage is 40%.
We can also work this out in a simpler way by first converting the fraction 2/5 to a decimal. To do that, we simply divide the numerator by the denominator:
Once we have the answer to that division, we can multiply the answer by 100 to make it a percentage:
And there you have it! Two different ways to convert 2/5 to a percentage. Both are pretty straightforward and easy to do, but I personally prefer the convert to decimal method as it takes less steps.
I’ve seen a lot of students get confused whenever a question comes up about converting a fraction to a percentage, but if you follow the steps laid out here it should be simple. That said, you may still need a calculator for more complicated fractions (and you can always use our calculator in the form below).
If you want to practice, grab yourself a pen, a pad, and a calculator and try to convert a few fractions to a percentage yourself.
Hopefully this tutorial has helped you to understand how to convert a fraction to a percentage. You can now go forth and convert fractions to percentages as much as your little heart desires!
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Percentages are useful in today’s world. The are just another way of expressing fractions, but they are always fractions of 100. Understanding how to find a percentage from a data set can make using percentages more meaningful, and it can be a helpful skill in itself.
TL;DR (Too Long; Didn’t Read)
To calculate a percentage, you need a fraction. Convert the fraction to decimal form by dividing the numerator by the denominator, multiply by 100, and there’s your percentage.
When you compile a data set, each value (x) can be expressed as a percentage of the entire set. To calculate this you first start by summing up all the values in the set (∑x_{1}. x_{n}) and make this sum the denominator of a fraction. The number for which you want the percentage becomes the numerator. Convert to decimal form and multiply by 100 to get the percentage.
In mathematical notation:
The following is an outline of the procedure:
Suppose you would like to know information about your shoe collection. You have three pairs of white shoes, two pairs of red shoes, two pairs of gray shoes and five pairs of black shoes – 12 pairs total. If you would like to find out what percentage of your shoes are black, first write the percentage fraction as the number 5 above the number 12, with a line drawn between the two horizontally.
Divide using the calculator to find the percentage in decimal form. Divide the top number – the number of pairs of black shoes – by the total number of shoes, 12. The answer, when rounded, is 0.42.
Multiply the decimal by 100, since 12 is 100 percent of the total. This will bring your decimal answer to wholeinteger form, 42.
Place a percentage sign behind the answer, as this is your percentage of black shoes out of a total of 12 pairs – 42 percent.
Converting Between Decimals and Percents 
To turn a number (either an integer or a decimal) into a percent, simply multiply by 100. That is the same as moving the decimal point two places to the right. You may need to round to the desired precision. Add a percent (%) sign.
To turn a percent into an integer or decimal number, simply divide by 100. That is the same as moving the decimal point two places to the left. Take off the percent (%) sign.
50% as a decimal is 0.50
Converting Between Fractions and Percents 
To convert a fraction to a percent, divide the numerator of the fraction by the denominator. Then multiply by 100 or move the decimal point two places to the right. Round the answer to the desired precision. Add a percent (%) sign.
Terms – Percentage, Base, Rate 
Uses of Percent 
If an item is $32.99, then you will pay 5% more than that with the tax added. First you figure out how much the tax is by taking 5% of $32.99:
0.05 x 32.99 = 1.6495
Remember that you are dealing with money, so you must round that off to the nearest penny, making it $1.65. Then you must add that to the $32.99 in order to know how much you will be paying: $32.99 + $1.65 = $34.64. That is the final price with the sales tax.
Another way to figure it would have been to think about the price as being 100% and the sales tax as 5%, so the total price you pay would be 105%. You could then multiply the original price by 105%:
105% x 32.99 = 1.05(32.99) = 34.6395 = $34.64
If you work at a retail store, you may be asked to do markups. This is when you take the wholesale price and increase it by a certain percentage to get the retail price at the store where you work. This increase in price pays your salary and the other expenses of operating the store (rent, lights, heat, etc.).
A sweater may cost $15 wholesale, but your store makes a profit of 65% on it. Therefore, it must be marked up by 65% to get the retail price.
65% x $15 = 0.65(15) = $9.75
Now add that to the $15: $9.75 + $15 = $24.75
The markup is the $9.75 and the retail price is the $24.75.
Let’s say that same sweater is put on sale for 30% off. That means that you need to find 30% of its retail price and subtract that from its retail price.
30% x $24.75 = 0.30(24.75) = $7.425 or $7.43
$24.75 – $7.43 = $17.32
In this case, you would subtract the 30% from 100% to do this in a single step:
(100% – 30%) x $24.75 = 70% x $24.75 = 0.7 (24.75) = $17.325 = $17.33
If a real estate agent makes a 7% commission on a $175,000 house he sells, he makes
An easy way to figure out a tip without using a calculator: Round the bill to the nearest dollar or half dollar, then move the decimal point one place left to find out 10% of the bill. If you are tipping 20%, double that. If you are tipping 15%, estimate half and add it to the 10%.
If your bill is $35.95, round it to $36. Move the decimal point one place left to get $3.60. That is 10%. Since 2 x 36 is 72, you would tip $7.20 for a 20% tip.
However, if you borrow money like taking out a loan for a car, boat, or house, you pay interest. And if you use a charge card and do not pay off the charges when they are due, you will be charged interest.
If your loan is for a very short period of time or is a personal loan from a family member, you may pay simple interest. If it is with a bank or financial institution, you will probably pay compound interest. Simple interest is calculated on the entire amount of money (called the principal) once and then the amount is divided by the number of payments and added to each payment. Compound or compounded interest is figured on the principal, then after the first payment, it is calculated on the remainder of the principal and after the next payment it is figured again on the remaining principal and so forth.
To figure interest, you must know the amount of money (principal), the time period for which it was borrowed (time) and the interest rate that is being charged or paid. The formula is:
Interest = Principal x Rate x Time
If $500 is borrowed for 2 years at a 12% interest rate:
Interest = $500 x 12% x 2
Interest = (500)(0.12)(2) = $120
Calculating Compound Interest.
Compound interest is calculated on the principal plus accumulated interest. The amount to be repaid is calculated using the following formula:
A = P( 1 + i ) n
For example, you receive 10% interest on a $1,000 investment in the first year. You reinvested that money back into your original investment. In the second year, you would get 10% interest on the $1,000 *plus* the $100 you reinvested. Over the years, compound interest will make you much more money than simple interest because you are reinvesting whatever interest you make. Let’s review this in the following example:
A = P( 1 + i ) n
A is the final total including the principal.
P is the principal amount (what you originally invested).
i is the rate of interest per year.
Let’s say that you have $2,500.00 to invest for 5 years at a rate of 7% compound interest.
A = 2500 (1 + 0.07) 5 = $3,506.38
You can see that your $2,500.00 is now worth $3,506.38 after 5 years at 7% interest compounded annually.
Our percentage calculator is perfect for performing both simple and complex calculations. Starting with – what is X of Y? The tool is userfriendly and easy to master in no time. All you need to do is input two fields, and after you press calculate, the answer that you require will automatically be filled in the third field.
You can try entering various combinations in different fields to get an idea of how our tool works. It also shows the complete history of your calculations so that it is easy to keep track.
Value from Percentage
In order to calculate the value based on the percentage, we use the formula V = P% * X
For example, to calculate 20% of 300, we can use the formula mentioned above.
1) Using the formula, V = P% * X, we have P as 20%, X, in this case, is 300.
2) Substituting the values in the formula, we have, V = 20% * 300
3) 20% converted to decimal form equals 0.20
4) So, the value V = 0.20 * 300 = 60
5) V = 60
6) Hence, 20% of 300 is 60.
Using the Percentage Calculator
We need to input ’20’ in the first field and ‘300’ in the second field. The calculator will then return the value 60, which is the same value we got from our calculations.
Converting value to percentage
While there are several different ways of calculating the percentage of a number, the easiest of all indicates the percentage (P) as P = X1 / _{X2} * 100. This is read as X1 is P percentage of X2.
For example, to find out 80 is what percentage of 200, we use the formula P = X1 / _{X2} * 100
1) Using the formula, P = X1 / _{X2} * 100, we have X1 as 80 and X2 as 200.
2) Substituting the values in the formula, we have P = 80 / _{200} * 100
3) 80/200 is 0.40
4) 0.40 is the decimal form. To convert it to percentage, we need to multiply it by 100
5) So 0.40 to percentage is 0.40 *100 = 40%
6) Hence, 80 is 40% of 200.
Using the Percentage Calculator
We need to input ’80’ in the first field and ‘200’ in the second field. The calculator will return the value 40%, which is the same as we got from our calculation.
Percentage Increase/Decrease
Sometimes, it is preferred to mention the increase or decrease of a quantity in terms of percentage. The percentage increase or decrease can be calculated by computing the difference between the two values and expressing it relative to the initial value. Mathematically, the difference is taken as an absolute value, and the increase is mentioned with a ‘+’sign, and the decrease is indicated with a ‘‘ sign.
Example 1
For example, if the price of a product has increased from $200 to $240, and we need to find the percentage change, we use the formula, P = V2 – V1 _{V1} * 100
1) Using the formula, P = V2 – V1 _{V1} * 100, we have V2 as 200, V1 as 100.
2) Substituting the values in the formula, we have P = 240 – 200 _{200} * 100
3) P = 40 _{200} * 100 = 0.20 * 100 = 20%
4) Hence, the price of the product has increased by 20 percentage from 200
Using the Percentage Calculator
To calculate the Percentage Increase, we need to input 200 in the first field and 240 in the second field. This will give the output as 20% indicating that there has been an increase of 20% from 200 to 240.
Example 2
On the other hand, if the price has decreased from $200 to $180, and we need to find the percentage change, we use the same formula P = V2 – V1 _{V1} * 100
1) Using the formula, P = V2 – V1 _{V1} * 100 we have V2 as 180, V1 as 200.
2) Substituting the values in the formula, P = 180 – 200 _{200} * 100
3) P = – 20 _{200} * 100 = – 0.10 * 100 = – 10%
4) The negative sign in 10% indicates that the price has decreased from its initial value.
5) Hence, the price has changed by 10% or decreased by 10% from its initial value of $200.
Using the Percentage Calculator
To calculate the Percentage Decrease, we need to input 200 in the first field and 180 in the second field. The calculator gives an output of 10%, indicating that there has been a 10% decrease in the price from $200.
Uses of Percentage Calculator
These functions are required in almost every sphere of life and are crucial to managing finances:
– If you have ever visited a grocery store, you would definitely have come across coupons or banners screaming ‘discount!’ or would have received a bill with complicated percentage calculations.
– If you are a commerce student, then these calculations would be a daily occurrence in your life—such as tax, interest, inflation, etc.
What is percentage?
A percentage is just one of the many ways that a number, ratio, or fraction can be expressed. It is vastly used in day to day life to express probabilities, marks, and so much more.
The sign used to depict it is ‘%.’ Suppose 10% would mean 0.01, 10 pct, 10/100, or tenhundredths.
If you have witnessed the symbol with additional circles, then it isn’t a mistake. Here’s what that means:
‰ – per thousand (per millie)
‱ – per ten thousand (basis point)
The word percent means one part in a hundred.
Percentage is a number or ratio as a fraction of 100. The number of a percentage is always followed by a percent symbol (%). Below are examples of percentages:
Percentage is applied in different fields. It is commonly used in accounting and finance such as interest rates, profits, sales and taxation. A number of schools and universities used percentages to express the grades of the students. Probabilities, nutrition facts and downloading process are represented by percentages.
Terms to remember
Fraction  ratio between two nonzero integers.Ex. 1/2 
Ratio  relationship between two numbers. Ex. 1:2 
Mixed Number  a whole number and a proper fraction. Ex. 1 2/3 
Proper Fraction  a fraction having a numerator which is less than the denominator. Ex. 3/4 
Quantity  a number representing an amount or value 
Distinguish  identify differences between two or more subjects. 
Calculating the Percentage
The percentage is the result when a specific number is multiplied by a percent. Most of the time, percentages are smaller than the number since a percentage is a portion of a number or quantity. But there are cases that the percentage is greater than the number. This would happen if the percent is greater than 100%.
In short, a percentage is a certain percent of a number.
Most of the time, the quantity is followed by the phrase “percent of”.
For example;
In this statement, 50 is the quantity, 35 is the percentage and 70% is the percent.
Example 3:
What is 40% of 60 ?
Explanation:
40 is the percent.
60 is the quantity.
Percentage is the required quantity.
Multiplying the number by the percent;
`60 ` x `40% = 60` x `40/100 = 2400/100 = 24`
Therefore, 40% of 60 is 24.
Example 4:
Find 75% of 36 ?
Explanation:
75 is the percent.
36 is the quantity.
Multiplying the number by the percent;
`36` x `75% = 36` x `75/100 = 2700/100 = 27`
Therefore, 27 is 75% of 36.
Calculating the Percent
In finding the percent of a number, divide the percentage by the quantity then multiply the product by 100. Put a percent symbol (%) after the final product.
If the percentage is greater than the quantity, this means that the percent is greater than 100%. The percent is a factor of increase in the value of the quantity.
Example 5:
What percent of 72 is 18?
Explanation:
18 is the percentage.
72 is the quantity.
Percent is asked.
Dividing the percentage by the quantity;
Multiplying the product by 100 and place a percent symbol (%) after;
Therefore, 18 is 25% of 72.
Example 6:
12 is what percent of 15?
Explanation:
12 is the percentage
15 is the quantity.
Percent is asked.
Dividing the percentage by the quantity;
Multiplying the product by 100 and place a percent symbol (%) after;
Therefore, 12 is 80% of 15.
Example 7:
100 is what percent of 50?
Explanation:
100 is the percentage
50 is the quantity.
Percent is asked.
Dividing the percentage by the quantity;
Multiplying the product by 100 and place a percent symbol (%) after;
Therefore, 100 is 200% of 50.
Converting Percent to Decimal
In getting percentages, it is necessary to convert the percent into decimal form before multiplying it to the quantity.
Here are the steps in converting percent to decimal:
1. Neglect the percent symbol (%).
2. Move the decimal point two places to the left.
Example 8:
Change 10% to decimal.
Explanation:
Neglect the percent symbol (%) and move the decimal point 2 places to the left.
Therefore, 10% is 0.1 in decimal.
Example 9:
Convert 5.31% to decimal.
0.0531
Explanation:
Neglect the percent symbol (%) and move the decimal point 2 places to the left.
Therefore, 0.0531 is the decimal form of 5.31%.
Example 10:
Find the decimal form of 428%.
Explanation:
Neglect the percent symbol (%) and move the decimal point 2 places to the left.
Therefore, 4.28 is the decimal form of 428%.
Converting Decimal to Percent
It is easy to convert decimals to percents: just move the decimal point two places to the right then place the percent symbol (%) after.
Example 11:
Change 0.607 to percent.
Explanation:
Move the decimal point 2 places to the right and place a percent symbol (%) after.
Therefore, 0.607 is 60.7%.
Example 12:
Convert 1.208 to percent.
Explanation:
Move the decimal point 2 places to the right and place a percent symbol (%) after.
Therefore, 1.208 is 120.8%.
Converting Percent to Fraction
Sometimes, converting percent to fraction is an easier method to obtain the percentage. Fractions are preferred to be used than decimals if the decimal has many digits. This makes the multiplication more convenient since only factorization is used to simplify the percentage.
Here are the steps in converting percent to fraction:
1. Neglect the percent symbol (%).
2. Divide the percent by 100. If the numerator has digits to the right of the decimal point, move the decimal point until the numerator becomes a whole number. Move the decimal point of the denominator (which is 100) by the same number of decimal places that the decimal point of the numerator has moved.
Please provide values below and click the “Calculate” button to get the result.
% Difference Calculator
Calculates % difference between two values
% Change Calculator
Calculates % change between two values
Related Calculators
Percentage calculator helps you to calculate the percentage between given numbers by using formulas, in arithmetic, a percentage is a ratio or a number that is a fraction of a hundred. It is denoted by the symbol ‘%’ or percent or per cent, basically, 10% is the same as 10 percent or 10 per cent. The word percent has its origin in Europe and Latin America where it was used as Per Centum and Per Cento. With the introduction of the decimal system in the early twentieth century, the usage of percent became the norm; per cent means per hundred. Very often there is a debate on how it is written, whether it is percent or per cent? Well in American English it is percent whereas the British use per cent.
It is a simple, handy and quicktouse tool that helps you to find out the percentage of numbers and all you need to do is fill in the respective fields and the result will be computed automatically for you.
The percentage formula can be written in various ways, basically, it is an algebraic equation that uses values. For instance, if we take X, Y and Z; where X is the percentage, Y is the first number that the percentage will modify, and Z is the result, it tells you how number X relates to number Y. The calculator computes the values that have been inputted and shows the results, the value is shown in percentage and not decimals. However, percentages can very easily be converted to decimals, all you need to do is divide the percentage by 100, and the result is on your screen, for example, 40% is equal to the decimal 0.40, or the fraction. If done manually, it can be calculated by dividing a given number by the actual number and then multiplying by 100.
While calculating the Percentage Difference Formula, the calculator divides the absolute value of the difference between two numbers by the average of those two numbers, the result is then multiplied by 100. This result will be in percent and not in decimal form.
Percentage Change Formula which may involve an increase or a decrease is computed by calculating the difference between two values and comparing that difference to the initial value. The absolute value of the difference is then divided by the initial value, basically calculating how much the initial value has changed. The difference can either be an increase or a decrease of a specific percentage of the input number. Essentially, percent is converted into its decimal equivalent, either adding to 1 or subtracting the decimal from 1. When the original number is multiplied by this value the result is an increase or decrease of the number by the given percent.
Converting any terminating decimal into a fraction is fairly straightforward. You count the number of decimal places, move the decimal point that number of places to the right, and put the resulting number over " 1 " followed by that number of zeroes.
Convert the decimal 0.7 into a fraction.
This decimal has one decimal place, so I move the decimal point one place to the right, to get 7 . Then I put this over " 1 " followed by one zero (otherwise known as " 10 ") to get:
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MathHelp.com
To call a decimal a “terminating” decimal means that “it ends”, unlike, say, the decimal for , which goes on forever.
A nonterminating AND NONREPEATING decimal CANNOT be converted to a fraction, because it is an “irrational” (nonfractional) number.
You should probably just memorize some of the more basic repeating decimals, like 0.33333. = and 0.666666. = . Check out the tables on the last page.)
Any terminating decimal can be converted to a fraction by counting the number of decimal places, and putting the decimal’s digits over 1 followed by the appropriate number of zeroes. For example:
The decimal had two decimal places, so I moved the dot two units to the right, and then put the resulting number (namely, ” 46 “) over ” 1 ” followed by two zeroes (otherwise known as ” 100 “). Then I simplified.
This decimal had one decimal place. I moved the dot one place to the right, and put the resulting number (namely, ” 15 “) over ” 1 ” followed by one zero (otherwise known as ” 10 “). Then I simplified.
This decimal also had only the one decimal place, so the process when the same as before. It’s okay to have multiple digits to the left of the decimal point in the original decimal form. You’ll just end up with a larger improper fraction when you’re done converting.
This decimal had four decimal places, though only one digit of interest (namely, the ” 3 “). I moved the dot four places to the right, and put the resulting number over ” 1 ” followed by four zeroes (otherwise known as ” 10,000 “). The resulting fraction didn’t simplify at all.
In the case of a repeating decimal, the following procedure is often used. Suppose you have a number like 0.5777777. This number is equal to some fraction; call this fraction ” x “. That is:
There is one repeating digit in this decimal, so multiply x by ” 1 ” followed by one zero; that is, multiply by 10 :
Now subtract the former from the latter:
That is, . Solving this (by dividing through by 9 ), we get . (You can verify this by plugging ” 26 ÷ 45 ” into your calculator and seeing that you get ” 0.5777777. ” for an answer.)
Don’t worry about "the last 7 " at the "end" of the subtraction above. Because these decimals never end (that is, because they’re nonterminating, repeating decimals), there is no "last 7 ", and the subtraction works. It’s one of the weird but useful things about infinity.
The previous example had one repeating digit. If there had been, say, three repeating digits (such as in 0.4123123123. ), then you would multiply the x by ” 1 ” followed by three zeroes; that is, you would multiply by 1000 . Then subtract and solve, as in the above example.
Solving by dividing through by 999 , I get:
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And don’t worry if you have leading zeroes, such as in ” 0.004444. “; the procedure will still work:
Trust the process.
You can use the Mathway widget below to practice converting decimals to fractions. Try the entered exercise, or type in your own exercise. Then click the button to compare your answer to Mathway’s. (Or you can continue with this lesson.)
(Clicking on “Tap to view steps” on the widget’s answer screen will take you to the Mathway site for a paid upgrade.)
Decimal to Percent
Decimaltopercent conversions are simple: just move the decimal point two places to the right, and slap on a "%" sign. (To keep straight in which direction you’re moving the dot, just remember that $0.50 is onehalf, or 50% , of a dollar.) For example:
I moved the dot two places to the right, giving me ” 23 “, and then added the “%” sign.
I moved the dot two places to the right. Because they gave me a number with something nonzero to the left of the decimal point, I ended up with a threedigit percentage. That’s perfectly okay. Percentages greater than 100% just mean that I’ve got a lot of whatever they’re measuring.
In this case, they gave me a number with zeroes between the decimal point and the first nonzero digit. So, even after moving the dot two places to the right, I still had decimal places. This is perfectly okay. It just means that I’ve got very little of whatever they’re measuring.
(Note that 0.97% is less than one percent. It should not be confused with 97% , which is 0.97 as a decimal.)
Fraction to Decimal
If you remember that fractions are division, then this is easy. The calculator can do the work for you, because you can just have it do the division. For example:
I did the long division, which yielded a terminating decimal.
In this case, I got a nonterminating decimal when I did the long division. But the decimal repeated its one digit, with the remainder always being the same, so this is a repeating decimal. The bar is placed over the repeating portion, as a convenient way of indicating that the repeating part is the digit ” 3 “.
The long division quickly terminated, giving me a nice neat decimal form.
In this case, I continued the long division for quite a ways, to be sure of the result. In practical terms, though, as soon as I got to a repeated remainder, I was done, because every step after that must necessarily repeat the steps that came before. As soon as I got a remainder of 2 , I’d reached the repetition point. (Do the long division yourself, if you’re not sure.) In this case, there are six digits that repeat, so the repetition bar is over a sixdigit block.
When converting fractions to decimals, you may be told to round to a certain place or to a certain number of decimal places. For instance, looking at that last example, as a decimal rounded to the nearest tenth (rounded to one decimal place) is 0.3 ; to the nearest hundredth (to two decimal places) is 0.29 ; to the nearest thousandths (to three decimal places) is 0.286 ; to the nearest tenthousandths (to four decimal places) is 0.2857 ; et cetera. If you’re not sure how you should format your answer, then give the “exact” form and the rounded form:
The rounded form can be useful for word problems, where a final answer in rounded form may be more practical than a repeating decimal. By the way, there is nothing sacred about my rounding above; unless you’re given a specified number of decimal places to which to round, you can use whatever feels reasonable to you. To me, in this particular instance, rounding to three decimal places felt right.
This calculator makes basic and advanced operations with decimals, real numbers, and integers. It also shows detailed stepbystep information about calculation procedures. Solve problems with two, three, or more decimals in one expression. Add, subtract and multiply decimals stepbystep. This calculator uses addition, subtraction, multiplication, or division for positive or negative decimal numbers, integers, real numbers, and whole numbers. This online decimals calculator will help you understand adding, subtracting, multiplying, or dividing decimals. The calculator follows wellknown rules for the order of operations. The most common mnemonics for remembering this order of operations are:
PEMDAS – Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.
BEDMAS – Brackets, Exponents, Division, Multiplication, Addition, Subtraction
BODMAS – Brackets, Of or Order, Division, Multiplication, Addition, Subtraction.
GEMDAS – Grouping Symbols – brackets ()<>, Exponents, Multiplication, Division, Addition, Subtraction.
MDAS – Multiplication and Division have the same precedence over Addition and Subtraction. The MDAS rule is the order of operations part of the PEMDAS rule.
Be careful; always do multiplication and division before addition and subtraction. Some operators (+ and ) and (* and /) has the same priority and then must evaluate from left to right.
The British Medical Journal reported on 123 confirmed cases of H7N9 avian flu (bird flu) admitted to hospitals. They reported that 44 of these individuals died as a result of their infection. This proportion represents a casefatality rate , and, like all proportions, it can be reported in several ways:
 As a simple fraction 44/123 people with confirmed H7N9 died
 As a decimal fraction : 44 divided by 123 = 0.3577235. In this case, it would be reasonable to round this off to 0.36.
This decimal fraction can be computed manually, in a spreadsheet, on a simple handheld calculator, or by using the calculator on a smart phone.
 As a percentage : Once we have calculated the decimal fraction as we did above, the result can also be represented as a percentage (%). The decimal fraction (0.36) could also be represented as a percentage. The decimal fraction 0.36 is equivalent to 36%. Percent means "per 100".
Visually we can represent this with the pie chart below.
The sample consisted of 123 people with documented bird flu. The fraction of the sample that died was 44/123 = 0.36.
This can also be expressed at 36%. Percent means "per 100." It is a way of standardizing the results to make them easier to compare among different groups or at different times. The actual sample consisted of 123 people, but by expressing the casefatality rate as a percent, we are saying that in a group of 100 people this frequency would be equivalent to 36 deaths.
Question: Data from the Massachusetts Department of Health indicates that in 2003 there were 8,263 people in Massachusetts known to be HIV positive. The estimated population size at the time was 5,700,000 (5.7 million). What was the estimated frequency of HIV expressed as a decimal fraction?
In this problem the frequency can be expressed as a simple fraction (8,263/5,700,000) or as the equivalent decimal fraction (0.00145). When we compute the decimal fraction, we divide the total number of HIV+ people by the total number of people in the population of Massachusetts. In fact, we are computing the prevalence of HIV seropositivity in Massachusetts. If we want to express this as a percentage, i.e., per 100 people, we would move the decimal point to the right by two places.
One can think of the decimal point as giving a frame of reference for the magnitude of what we are focusing on.
For example, consider the number 36.241983. This can be thought of as consisting of
9 ten thousandths, and
8 hundred thousandths.
Converting the Frequency Scale
If we go back to the prevalence of HIV in Massachusetts, the decimal fraction provided the frequency per person (e.g., a probability of HIV+ of 0.00145 per person), but this is not an intuitive way to think about prevalence, and there are more convenient ways to express this, as summarized in the table below.
0.00145 per 1 person.
0.0145 per 10 persons
0.145 per 100 persons
1.45 per 1,000 persons
14.5 per 10,000 persons
145 per 100,000 persons
Note that the third expression is "per 100," so this represents a percentage. However, if we wanted to communicate this information to the general public, it might be more intuitive to express this using either of the last two expressions, e.g., "Among 100,000 residents of Massachusetts, about 145 are known to be HIV positive." The first decimal fraction is what you would get when you divided (8,263/5,700,000); to convert this to the last expression, one moves the decimal point 5 places to the right to get 145 per 100,000. As easy way to remember this conversion is that we moved the decimal 5 places to the right to get a convenient whole number of people, and we expressed this as "per 100,000." Note that 100,000 has 5 "0"s after the 1, because we moved the decimal 5 places.
Percent change implies a starting value and an ending value. By convention the percent change is calculated by computing the change in value (i.e., the final value minus the starting value) and dividing the change by the starting value and multiplying the result times 100 in order to express it as a percentage.
Example 1: In 1960 the prevalence of type 2 diabetes was 10 per 1,000 population, and by 2010 the prevalence had increased to 60 per 1,000 population. What was the percent change?
% Change = (Final value – Starting Value) / Starting Value x 100
= [(60/1,00010/1,000) / 10/1,000] * 100= [(60 – 10) / 10] * 100 = 5 * 100
Example 2: Investigators created a risk reduction program for truck drivers in Kenya in order to decrease the spread of HIV and other sexually transmitted infections. During a one year follow up period the incidence of sexually transmitted diseases declined from
34 per 100 person years to 20 per 100 personyears. What was the percent change?
% Change = (Final value – Starting Value) / Starting Value x 100
= [(20/ 100 personyears – 34/100 personyears) / 34/100 PERSONYEARS] * 100
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How to convert a decimal to a fraction
To convert a decimal to a fraction, take the decimal number and write it as the numerator (top number) over its position value. As an example, for 0.4 you’ll find the four is in the tenths position. To turn it into a fraction, place the 4 over 10, to give 4/10. You can then simplify the fraction if needed. In this example, we can simplify to 2/5.
Some decimals are so familiar to us that we can instantly see them as fractions: if your sister is 14.5 years old, you know that she’s 14 1/2; if you buy a bag of potatoes weighing 0.75kg, you know that it’s 3/4 of a kilo; if you give your sister a 3/4 kilo bag of potatoes for her 18th birthday, you know that your chances of a polite and enthusiastic response are around 0.1, or 1/10.
But what of other less obvious decimals – how can you calculate what 0.45, 0.62 or 0.384 is as a fraction, for example? Here’s how.
Converting a decimal to a fraction – step by step
The most important thing you need to keep in mind when you want to convert a decimal to a fraction is that a decimal expresses whether something is a ‘tenth’, a ‘hundredth’, a ‘thousandth’ etc., based on its position after the decimal point. If you’re looking at a decimal which only has one number after the point, then you are working in tens. If your decimal has two digits after the point, then you will be working in hundreds. If your decimal has three digits after the point, then you are working in thousands, and so on.
 Establish whether your decimal is working in tens, hundreds, thousands or more. This will become your multiplier in step 3.
Example: 0.45 is 45 hundredths  Write out your decimal as the numerator of a fraction (i.e. above the fraction line). The denominator below the line is always 1, because a decimal is always part of 1.
Example: 0.45/1  Multiply your numerator by 10 / 100 / 1000 (your multiplier from step 1), and then do the same for the denominator.
Example: 45/100  Simplify your fraction. Find the ‘Greatest Common Factor’ (the highest number that divides exactly into both the numerator and the denominator).
Example: Both 45 and 100 are multiples of 5, so we can divide both numbers by 5. Result: 9/20.
Should you have a whole number at the beginning of your decimal (6.45), you can simply remove it to work out your decimal, then include it again at the end (Example: 6 and 9/20).
If you manage to find a number which simply can’t become a fraction, then don’t be too hard on yourself. It’s not you: it’s them. These are called “irrational numbers”, and with good reason. One example of an irrational number is pi (3.14159265. ) There’s just no reasoning with them.
Using the decimal to fraction calculator
You can use our decimal to fraction calculator to check your calculation answers or to get help with figuring out the methodology behind converting a decimal number to a fraction. As well as providing a result for your calculation, we also show you how the answer was achieved.
Repeating decimals
Our calculator gives you the opportunity to represent repeating decimals by entering a figure into the ‘Number of trailing decimal places to repeat’ box. Simply enter the number of digits from the end of the decimal to repeat. For other nonrepeating decimals, keep the default setting at 0.
As an example, if you want to convert a repeating decimal such as 1.234. then you should enter 1.234 into the Decimal number box and 3 into the Trailing decimal places to repeat box (signifying that the last 3 digits of the number should repeat).
Other math and education calculators
The Calculator Site features a number of popular math and education calculators. If you need to add, subtract, multiply, divide or simplify fractions, you can use our fractions calculator. Alternatively, you may be at university and need to calculate your weighted grade. You can use our uni grade calculator for this.
And, if you find yoursefl needing some assistance with rounding calculations to significant figures, check out the Significant Figures Calculator by Quentin Truong.
How can i convert this to a decimal in SQL? Below is the equation and i get the answer as 78 (integer) but the real answer is 78.6 (with a decimal) so i need to show this as otherwise the report won’t tally up to 100%
11 Answers 11
Ugly, but it works.
Not ugly and work better and fast , enjoy it!
At least in MySQL (if it helps), if you want to use float numbers you had to use a type float field, not the regular int fields.
Just add a decimal to the 100
this forces all processing to happen in floats. if you want the final output as text, and truncated for display to only one decimal place, use Str function
This works perfectly for me:
Hope it helps someone out there in the world.
Its probably overkill to do this, but you may wish to consider casting all values to floats to ensure accuracy at all phases.
Note, you really need to put code in here for the case that TotalVisits == 0 or you will get a division by 0 answer.
This will return a decimal and the ROUND will round it to one digit. So in your case you would get 76.6. If you don’t want any digits change the 1 to 0 and if you want two digits change it to 2.
Try with this, no round and str or Over(). i found this as a simpler way to do it.
You can change the number of decimal points as you wish to
This might not address you issue directly, but when you round a set of numbers for display you’re never guaranteed to get numbers that add to 100 unless you take special precautions. For example, rounding 33.33333, 33.33333 and 33.33333 is going to leave you one short on the sum, so the logical thing to do is to modify the percentage for the largest value in the set to take account of any difference.
Here’s a way of doing that in Oracle SQL using analytic functions and a subquery factoring (WITH) clause to generate sample data.
In ms Access You can use the SQL function ROUND(number, number of decimals), It will round the number to the given number of decimals:
ROUND((100 * [TotalVisit1]/[TotalVisits]),1) AS Visit1percent
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