Percent, Decimal & Fraction Converter

Convert between percentages, decimals and fractions, with each step shown.

I have a	Percent
Value	62.5

I have a

Value

Fraction

5/8

= 0.625 = 62.5%.

Exact fraction. Checked exactly.

Method: Digits over a power of ten, then simplify
Worked out with: AllCalcHub exact fractions (whole-number arithmetic, no rounding)
Check: Every step recomputed with exact fractions

1
Write the percent over 100
62.5/100
2
Simplify by the greatest common divisor
÷ 125 → 5/8

About the Percent, Decimal & Fraction Converter

Enter a percent, decimal or fraction and the calculator converts it to the other two, with the fraction in lowest terms.

A percent is a number out of 100, so 62.5% = 62.5/100 = 0.625. To turn a decimal into a fraction, write it over a power of 10 and simplify by the greatest common divisor: 0.625 = 625/1000 = 5/8. To go from a fraction to a percent, divide and multiply by 100.

The formula

Percent = fraction × 100; fraction = decimal × 10ⁿ ÷ 10ⁿ, simplified

Worked example

62.5%

= 62.5 ÷ 100 = 0.625
= 625/1000
÷ 125 = 5/8

Questions people ask

How do I convert a repeating decimal?

Use the decimal to fraction calculator, which handles repeating digits.

What's 1/3 as a percent?

33.333…%, often written 33⅓%.