Percent to fraction converter How to convert fraction to percent For example, in order to get a decimal fraction, 3/4 is expanded to 75/100 by multiplying the numerator by 25 and denominator by 25. What is 26% of 133? 44 is what percent of 122? 12 is 22% of what? Change by a certain percent? Add or deduct 15% to/from 20; Percentage increase/decrease: 60 is what percent lower than 270? Percentage expresses a quantitative ratio and fulfills the same function as fractions.
Converting decimal numbers, fractions, proportions and ratios to percentages
It's very simple to write a fraction (a proportion or a ratio) or a decimal number as a percentage. To convert a fraction just start by dividing the numerator by the denominator and then multiply the result by 100%. Screens 4 5 2 – access your computer remotely backup. By multiplying the result by 100% the value we've got at the previous step is not modified, since 100% = 100/100 = 1. By multiplying by 100% only the form is being changed - it's written as a percentage.
It's even simpler to write a decimal number as a percentage. Simply multiply the number by 100%.
Examples
- 1/4 = 0.25 = 0.25 × 100% = (0.25 × 100)% = 25%;
- 7/8 = 0.875 = 0.875 × 100% = (0.875 × 100)% = 87.5%
- 1.3/9.4 ≈ 0.138297 = 0.138297 × 100% = (0.138297 × 100)% = 13.8297%
- 4.3 = 4.3 × 100% = (4.3 × 100)% = 430%;
Shortcut bar 1 3 download free. Divide the top of the fraction by the bottom, multiply by 100 and add a '%' sign.
The Simplest Method is to Use a Calculator
Steps:
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Example: What is 58 as a percent?
Get your calculator and type in '5 ÷ 8 =', the calculator should show 0.625
Then multiply by 100 and your answer is: 62.5%
(Remember to put the '%' sign so people know it is 'per 100')
OR you can multiply the top by 100 first then divide by the bottom number:
Example: What is 58 as a percent?
Multiply 5 by 100 first, then divide by 8
Write 26 As A Percentage Of 40
500 ÷ 8 = 62.5%
(Remember that '%' sign!)
Or Move the Decimal 2 Places
After dividing, instead of multiplying by 100 we can just move the decimal point 2 places to the right, then add the %
Example: Convert 1/8 to a percentage
Divide 1 by 8:
1 ÷ 8 = 0.125
Move the decimal point 2 places to the right Marked 2 2 5 27.
Remember to add the '%' sign: 12.5%
Another (Harder) Method
Percent means 'per 100', so try to change the fraction to ?100 form.Follow these steps:
| Step 1: Find a number you can multiply the bottom of the fraction by to get 100. |
| Step 2: Multiply both top and bottom of the fraction by that number. |
| Step 3. Then write down just the top number with the '%' sign. |
Example 1: Convert 34 to a Percent
Step 1: We can multiply 4 by 25 to become 100
(why 25? because 100 divided by 4 is 25)
Step 2: Multiply top and bottom by 25:
Step 3: Write down 75 with the percent sign:
Answer = 75%
Example 2: Convert 316 to a Percent
Step 1: We have to multiply 16 by 6.25 to become 100
(why 6.25? because 100 divided by 16 is 6.25)
Step 2: Multiply top and bottom by 6.25:
Step 3: Write down 18.75 with the percentage sign:
Answer = 18.75%
Yet Another Method: Proportions
Because a percent is actually a ratio (parts per 100) we can also use Proportions to do the conversion.
First, put what you know into this form:
Top of FractionBottom of Fraction = Percent100
Then solve using 'multiply across the known corners, divide by the third number':
Example: Convert 316 to percent
Fill in what you know:
316 = Percent100
Multiply across the known corners, then divide by the third number. The 'known corners' are top left and bottom right:
Percent = (3 × 100) / 16
= 300 / 16
= 18.75%
25 26 As A Percent
Answer: 316 is 18.75% (same answer as the previous example!)
