Percent to Decimal and Fraction Calculator
Type a percent, a decimal or a fraction and see the other two straight away. Every answer shows the steps and the simplified fraction. It runs in your browser, so nothing you enter is stored.
Convert
Type in any one box. The other two fill in by themselves.
Result
Steps
Percent to decimal calculator
Divide the percent by 100. This moves the decimal point two places to the left.
Percent to fraction calculator
Write the percent over 100, then simplify. The answer is a fraction in its lowest terms.
Decimal to percent calculator
Multiply the decimal by 100. This moves the decimal point two places to the right.
Fraction to percent calculator
Divide the top by the bottom, then multiply by 100.
Quick answer
To turn a percent into a decimal, divide by 100. To turn a decimal into a percent, multiply by 100. To turn a fraction into a percent, divide the top by the bottom and multiply by 100. To turn a percent into a fraction, write it over 100 and simplify. For example, 37.5% = 0.375 = 3/8. Type any one of the three into the calculator above and it gives you the other two, with the steps.
How to convert between percent, decimal and fraction
Percent to decimal
Here we convert 37.5% to a decimal.
- Divide the percent by 100. 37.5 ÷ 100 = 0.375.
- The decimal is 0.375.
Decimal to percent
Here we convert 0.375 to a percent.
- Multiply the decimal by 100. 0.375 × 100 = 37.5.
- Add the percent sign. The answer is 37.5%.
Percent to fraction
Here we convert 37.5% to a fraction.
- Write the percent over 100: 37.5/100.
- Multiply the top and bottom by 10 to remove the decimal point: 375/1000.
- Divide both numbers by their greatest common divisor, which is 125: 3/8.
Fraction to percent
Here we convert 3/8 to a percent.
- Divide the top by the bottom. 3 ÷ 8 = 0.375.
- Multiply by 100. 0.375 × 100 = 37.5%.
Decimal to fraction
Here we convert 0.125 to a fraction.
- Count the decimal places. 0.125 has three.
- Write the digits over 1 and three zeros: 125/1000.
- Simplify by dividing both numbers by 125: 1/8.
Common percent, decimal and fraction conversions
This table shows the values people look up most often.
| Percent | Decimal | Fraction |
|---|---|---|
| 1% | 0.01 | 1/100 |
| 5% | 0.05 | 1/20 |
| 10% | 0.1 | 1/10 |
| 12.5% | 0.125 | 1/8 |
| 20% | 0.2 | 1/5 |
| 25% | 0.25 | 1/4 |
| 30% | 0.3 | 3/10 |
| 33.33% (repeating) | 0.3333 | 1/3 |
| 37.5% | 0.375 | 3/8 |
| 40% | 0.4 | 2/5 |
| 50% | 0.5 | 1/2 |
| 60% | 0.6 | 3/5 |
| 62.5% | 0.625 | 5/8 |
| 66.67% (repeating) | 0.6667 | 2/3 |
| 75% | 0.75 | 3/4 |
| 80% | 0.8 | 4/5 |
| 87.5% | 0.875 | 7/8 |
| 90% | 0.9 | 9/10 |
| 100% | 1 | 1 |
| 125% | 1.25 | 5/4 |
| 150% | 1.5 | 3/2 |
| 200% | 2 | 2 |
Repeating decimals
Some fractions do not end as a decimal. For example, 1/3 is 0.3333 and the threes never stop. A fraction repeats when its simplified bottom number has a prime factor other than 2 or 5. So 1/8 (0.125) and 3/20 (0.15) end, but 1/3, 1/6 and 2/7 repeat.
When a decimal repeats, any percent or decimal you see for it is rounded. The fraction is always exact, so keep the fraction if you need an exact answer. The calculator marks repeating results with the words repeating decimal and rounds to six places.
Percents above 100 and below zero
A percent can be more than 100. It then means more than the whole: 150% is 1.5 as a decimal and 3/2 as a fraction. A negative percent works the same way with the minus sign kept: −25% is −0.25 and −1/4. This is common in finance and statistics, for example when a value falls by a quarter.
Common mistakes
- Moving the decimal point the wrong way. Percent to decimal moves it two places left. Decimal to percent moves it two places right.
- Forgetting to simplify. 25/100 is correct, but 1/4 is the answer most people want.
- Mixing up 0.5 and 0.5 percent. 0.5 is 50%. 0.5% is 0.005.
- Writing 1/3 as exactly 33.33%. It is 33⅓%, and the rounded value is only close.
- Leaving the percent sign on when you divide. Divide the number 37.5 by 100, not the symbol.
- Dividing the bottom by the top when you turn a fraction into a decimal. Divide the top by the bottom.
Where you use these conversions
You use them for discounts and sale prices, test marks, interest and tax rates, recipes, and school maths. Spreadsheets and calculators often want a decimal, while a shop sign shows a percent and a recipe shows a fraction. For adding and comparing fractions, use the fraction calculator.
Frequently asked questions
How do I convert a percent to a decimal?
Divide the percent by 100. This moves the decimal point two places to the left. For example, 37.5 percent is 37.5 ÷ 100 = 0.375, and 5 percent is 0.05.
How do I convert a percent to a fraction?
Write the percent over 100, remove any decimal point by multiplying the top and bottom by 10 for each decimal place, then simplify. For example, 25 percent is 25/100, which simplifies to 1/4. And 37.5 percent is 37.5/100, which becomes 375/1000 and simplifies to 3/8.
How do I convert a decimal to a percent?
Multiply the decimal by 100, which moves the decimal point two places to the right, and add the percent sign. For example, 0.375 × 100 = 37.5 percent, and 1.2 is 120 percent.
How do I convert a fraction to a percent?
Divide the top number by the bottom number, then multiply by 100. For example, 3/8 is 3 ÷ 8 = 0.375, and 0.375 × 100 = 37.5 percent.
How do I convert a decimal to a fraction?
Write the digits after the decimal point over 1 followed by as many zeros as there are decimal places, then simplify. For example, 0.125 has three decimal places, so it is 125/1000, which simplifies to 1/8.
Why is 1/3 shown as 33.33 percent and not exactly?
The fraction 1/3 is a repeating decimal: 0.3333 and so on without end. Any percent or decimal written for it is rounded. The exact value is 33⅓ percent. The calculator tells you when a decimal repeats, and the fraction stays exact.
Can a percent be more than 100?
Yes. A percent above 100 means more than the whole. For example, 150 percent is 1.5 as a decimal and 3/2 as a fraction, or 1 1/2 as a mixed number.
Can I convert a negative percent?
Yes. The minus sign stays in front. For example, −25 percent is −0.25 as a decimal and −1/4 as a fraction.
What is 0.5 percent as a decimal and a fraction?
Half of one percent is 0.5 ÷ 100 = 0.005 as a decimal. As a fraction it is 0.5/100, which becomes 5/1000 and simplifies to 1/200. Many people mistake 0.5 percent for 0.5, which is 50 percent.
How do I write a percent as a mixed number?
First write the percent as an improper fraction, then divide the top by the bottom. For example, 125 percent is 125/100, which simplifies to 5/4. Dividing 5 by 4 gives 1 with 1 left over, so it is 1 1/4. The calculator shows the mixed number when the fraction is more than 1.
Do I have to fill all three boxes?
No. Type in one box and the other two fill in by themselves. If you then type in a different box, that box becomes the one the others follow.
Is my input saved anywhere?
No. The conversion runs in your browser. Nothing you enter is sent to our servers or stored.
About the author
Umar Khan is a PhD student in engineering at NTNU. He writes and checks the maths on UtilMora.
For information only, not professional advice.
Written by Umar Khan. Last updated: November 3, 2026.