Percent to Fraction Calculator
Write a percent as a fraction in lowest terms and as a decimal, with every step. Works for percents like 12.5% and repeating ones like 33.333…%.
For a repeating decimal, type the digits that repeat in their own box, or write 0.1666… or 0.1(6).
As a fraction
3/4
0.75 = 3/4 as a fraction, or 75% as a percent.
- Fraction
- 3/4
- Decimal
- 0.75
- Percent
- 75%
Show me how
Why does this work?
All steps as text
Tip: press ← and → to move between steps, or click any step.
How to convert a percent to a fraction
- Write the percent over 100. Percent means “per hundred”: 45% = 45/100.
- Clear any decimal point by multiplying the top and the bottom by 10, 100…: 12.5% = 12.5/100 = 125/1000.
- Simplify by dividing by the greatest common divisor: 45/100 = 9/20 (÷ 5), and 125/1000 = 1/8 (÷ 125).
How to convert a percent to a decimal
Divide by 100, which moves the decimal point two places to the left: 45% = 0.45, 12.5% = 0.125, 150% = 1.5 and 0.5% = 0.005.
Fractions and decimals to percents
Go the other way by multiplying by 100. 0.375 × 100 = 37.5%. For a fraction, either turn it into a decimal first or multiply it by 100 directly: 3/8 × 100 = 300/8 = 37.5, so 3/8 = 37.5%, and 1/3 × 100 = 33 1/3, so 1/3 = 33 1/3%.
33 1/3% and 66 2/3%
33 1/3% is exactly 1/3 and 66 2/3% is exactly 2/3. As decimals they repeat: 33.333…% and 66.666…%. To convert one here, type 33.3 with 3 in the repeating digits box, or 33.(3). A rounded value like 33.33% gives 3333/10000, close to 1/3 but not equal to it.
Common percents as fractions and decimals
| Percent | Fraction | Decimal |
|---|---|---|
| 1% | 1/100 | 0.01 |
| 5% | 1/20 | 0.05 |
| 10% | 1/10 | 0.1 |
| 12.5% | 1/8 | 0.125 |
| 15% | 3/20 | 0.15 |
| 20% | 1/5 | 0.2 |
| 25% | 1/4 | 0.25 |
| 30% | 3/10 | 0.3 |
| 33 1/3% | 1/3 | 0.333… |
| 37.5% | 3/8 | 0.375 |
| 40% | 2/5 | 0.4 |
| 50% | 1/2 | 0.5 |
| 60% | 3/5 | 0.6 |
| 62.5% | 5/8 | 0.625 |
| 66 2/3% | 2/3 | 0.666… |
| 75% | 3/4 | 0.75 |
| 80% | 4/5 | 0.8 |
| 87.5% | 7/8 | 0.875 |
| 100% | 1 | 1 |
| 125% | 5/4 = 1 1/4 | 1.25 |
| 150% | 3/2 = 1 1/2 | 1.5 |
| 200% | 2 | 2 |
Questions
What is 45% as a fraction?
45% = 45/100. Both numbers divide by 5, so it simplifies to 9/20.
What is 12.5% as a fraction?
12.5% = 12.5/100 = 125/1000, and dividing the top and the bottom by 125 gives 1/8.
How do I write a percent over 100% as a fraction?
The same way: 150% = 150/100 = 3/2, or 1 1/2 as a mixed number. Over 100% means more than the whole.
How do I write 0.5% as a fraction?
0.5% = 0.5/100 = 5/1000 = 1/200. A percent below 1% is less than one hundredth.
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