Common fraction, decimal and percentage equivalents
Exact rows have terminating decimal values. The … symbol means the decimal continues. For example, 1/3 is exactly 33⅓%, while 33.33% is a rounded approximation.
22 rows shown
| Fraction | Decimal | Percentage | Value type |
|---|---|---|---|
| 0 | 0 | 0% | Exact |
| 1/100 | 0.01 | 1% | Exact |
| 1/20 | 0.05 | 5% | Exact |
| 1/10 | 0.1 | 10% | Exact |
| 1/8 | 0.125 | 12.5% | Exact |
| 1/5 | 0.2 | 20% | Exact |
| 1/4 | 0.25 | 25% | Exact |
| 1/3 | 0.3333… | 33.3333…% | Repeating |
| 3/8 | 0.375 | 37.5% | Exact |
| 2/5 | 0.4 | 40% | Exact |
| 1/2 | 0.5 | 50% | Exact |
| 3/5 | 0.6 | 60% | Exact |
| 5/8 | 0.625 | 62.5% | Exact |
| 2/3 | 0.6666… | 66.6666…% | Repeating |
| 3/4 | 0.75 | 75% | Exact |
| 4/5 | 0.8 | 80% | Exact |
| 7/8 | 0.875 | 87.5% | Exact |
| 9/10 | 0.9 | 90% | Exact |
| 1 | 1 | 100% | Exact |
| 5/4 | 1.25 | 125% | Exact |
| 3/2 | 1.5 | 150% | Exact |
| 2 | 2 | 200% | Exact |
How to convert between the three forms
Fraction to decimal
Divide top by bottom
3/8 means 3 ÷ 8 = 0.375. A denominator of zero is undefined.
Decimal to percentage
Multiply by 100
0.375 × 100 = 37.5. Add the percent sign: 37.5%.
Percentage to decimal
Divide by 100
37.5% becomes 37.5 ÷ 100 = 0.375.
Percentage to fraction
Write the percentage over 100 and simplify. For 12.5%, start with 12.5/100. Multiply the top and bottom by 10 to get 125/1,000, then simplify to 1/8.
Decimal to fraction
For a terminating decimal, use a denominator of 10, 100, 1,000 or another power of ten matching the number of decimal places. For example, 0.75 = 75/100 = 3/4. Repeating decimals require a different method: 0.3333… is 1/3, while the finite value 0.3333 is 3,333/10,000.
See why a quarter is 25%
Because percent means per hundred, one quarter of 100 is 25. Two quarters make one half, which is 50%.
Questions about the chart
Can a percentage be greater than 100%?
Yes. 125% is 1.25, or 5/4. It describes one whole plus one quarter. Whether a value above 100% makes sense depends on what is being measured.
Why are one third and two thirds marked repeating?
Their decimal digits continue forever. The chart uses … to show continuation. Rounding 1/3 to two percentage decimal places gives approximately 33.33%, not an exact equality.
Can I print or reuse this chart?
Download the PDF for an A4 reference sheet or use Print this page. You may print these original reference sheets for personal, classroom or workplace use. Keep the source credit when sharing an unchanged copy.
Use a percentage in a calculation
See why 12.5% of 200 is 25 for an example using one eighth. The formula cheat sheet covers amounts, discounts and changes; the Excel guide explains how percentages are stored in spreadsheet cells.