Charts & references · 3 min read
Percent to Fraction Chart: 5% to 200% in Lowest Terms
Percent, fraction and decimal side by side
| Percent | Fraction | Decimal |
|---|---|---|
| 1% | 1/100 | 0.01 |
| 5% | 5/100 | 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 |
| 33⅓% | 1/3 | 0.333333 |
| 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 |
| 66⅔% | 2/3 | 0.666667 |
| 70% | 7/10 | 0.7 |
| 75% | 3/4 | 0.75 |
| 80% | 4/5 | 0.8 |
| 87.5% | 7/8 | 0.875 |
| 90% | 9/10 | 0.9 |
| 100% | 1 | 1 |
| 125% | 5/4 | 1.25 |
| 150% | 3/2 | 1.5 |
| 200% | 2 | 2 |
The three-step method
1. Write the percent over 100. 2. Remove any decimals by multiplying top and bottom by 10 (or 100). 3. Simplify the fraction by dividing by the greatest common factor.
Example: 62.5% = 62.5/100 = 625/1000 = 5/8.
62.5% as a fraction
- Decimal: 0.625
- Check: 5 × 125 = 625 and 8 × 125 = 1000
Step-by-step working 3 steps
- 1Write the fraction
625/1000
- 2Find the greatest common factor (Euclid’s algorithm)
625 = 0 × 1000 + 625 1000 = 1 × 625 + 375 625 = 1 × 375 + 250 375 = 1 × 250 + 125 250 = 2 × 125 + 0
Divide repeatedly, keeping the remainder, until the remainder is 0. The last non-zero remainder is the GCF: 125.
- 3Divide top and bottom by the GCF
625 ÷ 125 = 5 1000 ÷ 125 = 8 → 5/8
Benchmarks worth memorising
- 10% = 1/10, 20% = 1/5, 25% = 1/4, 50% = 1/2, 75% = 3/4
- Eighths: 12.5%, 37.5%, 62.5%, 87.5%
- Thirds: 33⅓% and 66⅔%
These let you do many percentage questions in your head. For worked methods see the percentage guide.
Frequently asked questions
How do I convert 12.5% to a fraction?
12.5% = 12.5/100 = 125/1000 = 1/8.
Can a percent be over 100%?
Yes. 150% is 3/2, one and a half times the whole.
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