Percent, Decimal and Fraction Converter
Turn a fraction into a percent or decimal, and back, in one step.
Good to know. A third is 33.333…%, forever. Every percentage of a third is a rounding decision.
How it works
In plain words
A fraction is a division: 3/8 = 3 ÷ 8 = 0.375. Multiply a decimal by 100 for a percentage: 37.5%. To go back, write the decimal over a power of ten and simplify: 0.375 = 375/1000 = 3/8.
The formula
decimal = numerator ÷ denominator percent = decimal × 100 fraction = decimal × 10ⁿ ÷ 10ⁿ, simplified
Worked example
3/8 = 3 ÷ 8 = 0.375, and 0.375 × 100 = 37.5%.
Sources
No outside data or rates: this is plain arithmetic.
7 automated tests check its answers on every change.
About the percent, decimal and fraction converter
Fractions, decimals and percentages are three ways of writing the same number. Recipes and tape measures use fractions, calculators use decimals, and discounts and statistics use percentages. This converter takes any one of them and shows the other two.
To turn a fraction into a decimal, divide the top by the bottom. To turn a decimal into a percentage, multiply by 100. Going the other way, a percentage divided by 100 is a decimal, and a decimal can be written as a fraction over 10, 100 or 1,000 and simplified by dividing top and bottom by their greatest common factor: 0.75 = 75/100 = 3/4.
Some fractions never end as decimals. 1/3 is 0.3333… and 2/7 is 0.285714285714…, repeating forever. Type a rounded decimal like 0.333 and the calculator shows the exact fraction it represents (333/1000) as well as the simple fraction it is close to (1/3).
Handy ones to know: 1/2 = 50%, 1/4 = 25%, 3/4 = 75%, 1/5 = 20%, 1/8 = 12.5%, 1/3 ≈ 33.3% and 2/3 ≈ 66.7%.
Questions people ask
How do I convert a fraction to a percentage?
Divide the top number by the bottom one and multiply by 100. 3/8 = 0.375 = 37.5%.
How do I convert a decimal to a fraction?
Write it over 10, 100 or 1,000 depending on the decimal places, then simplify: 0.6 = 6/10 = 3/5.
What is 1/3 as a percentage?
33.333…%, usually rounded to 33.3% or 33%.