Percent to Fraction
The calculator converts percentages to fractions and decimals, and fractions and decimals to percentages, with a step-by-step solution.
What to convert:
Percent, %:
x
The percent to fraction calculator converts a percentage to a fraction and a decimal, a fraction to a percentage, and a decimal to a percentage — with a step-by-step solution.
A percent is one hundredth
1% = 1/100 = 0.01
So converting between percentages and fractions comes down to dividing or multiplying by 100.
How to convert a percent to a fraction
- Divide the percentage by 100 to get a decimal (move the decimal point two places to the left).
- Write the decimal as a fraction and simplify.
Example. 12.5% = 0.125 = 125/1000 = 1/8
How to convert a fraction to a percent
Multiply the fraction by 100%:
Example. 3/8 · 100% = 300/8% = 37.5%
0.45 · 100% = 45%
If the division never ends, the result is rounded, usually to hundredths: 1/3 = 33.(3)% ≈ 33.33%.
Common values
| Percent | Fraction | Decimal |
|---|---|---|
| 10% | 1/10 | 0.1 |
| 20% | 1/5 | 0.2 |
| 25% | 1/4 | 0.25 |
| 33.(3)% | 1/3 | 0.(3) |
| 50% | 1/2 | 0.5 |
| 75% | 3/4 | 0.75 |
| 100% | 1 | 1 |
Percentages over 100 give fractions greater than one: 150% = 3/2 = 1.5.