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Percent to Decimal Converter
Type a percentage to get its decimal form instantly, plus the simplified fraction and the working. Paste a list of rates to convert them all at once; repeating values like 33 1/3% are shown exactly.
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The % sign is optional. Decimals, negatives, values over 100%, fractions (3/4%) and mixed numbers (33 1/3%) work. Separate several values with new lines, commas or semicolons.
Enter your values to see the result.
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How to use the Percent to Decimal Converter
- Type a percentage such as
12.5%; the % sign is optional. - Paste a list with one value per line (or separated by commas) to convert many at once.
- Pick decimal places if you want the answer rounded; Exact shows every digit and marks repeating ones.
- Press Convert to decimal and read the decimal, fraction and steps.
- Copy the results or download your converted list as a CSV file.
How to convert a percent to a decimal
"Percent" means "per hundred", so a percentage is a number of hundredths. To turn it into a decimal, divide by 100:
decimal = percent ÷ 100
Dividing by 100 moves the decimal point two places to the left. If the number has fewer than two digits before the point, fill the gap with zeros: 7% → 0.07, 0.4% → 0.004. A whole number such as 85 has an invisible decimal point at the end (85.), so 85% → 0.85.
- Fractions of a percent: 3/4% = 0.75% = 0.0075. Convert the fraction first, then divide by 100.
- Mixed percentages: 33 1/3% = 1/3 = 0.333… (repeating). 66 2/3% = 0.666…, 16 2/3% = 0.1666…
- Negative percentages (a decrease) stay negative: −15% = −0.15.
Percent to decimal chart
| Percent | Decimal | Percent | Decimal | Percent | Decimal |
|---|---|---|---|---|---|
| 0.1% | 0.001 | 10% | 0.1 | 60% | 0.6 |
| 0.25% | 0.0025 | 12.5% | 0.125 | 62.5% | 0.625 |
| 0.5% | 0.005 | 15% | 0.15 | 66 2/3% | 0.666… |
| 1% | 0.01 | 20% | 0.2 | 75% | 0.75 |
| 2.5% | 0.025 | 25% | 0.25 | 80% | 0.8 |
| 3.75% | 0.0375 | 30% | 0.3 | 87.5% | 0.875 |
| 5% | 0.05 | 33 1/3% | 0.333… | 100% | 1 |
| 6.5% | 0.065 | 40% | 0.4 | 125% | 1.25 |
| 7.25% | 0.0725 | 50% | 0.5 | 200% | 2 |
Where percent-to-decimal conversion matters
- Interest and loan formulas expect the rate as a decimal: a 6.5% annual rate is r = 0.065, and a monthly rate is 0.065 ÷ 12 ≈ 0.005417.
- Sales tax and discounts: multiply the price by the decimal. 8.25% tax on $40 is 40 × 0.0825 = $3.30; to add it in one step multiply by 1.0825.
- Spreadsheets: a cell formatted as a percentage that shows 12.5% actually stores 0.125. Typing 12.5 into a plain cell and then formatting it as a percentage gives 1250%.
- Probability: a 30% chance is a probability of 0.3.
Frequently asked questions
How do you convert a percent to a decimal?
Divide the percentage by 100, which is the same as moving the decimal point two places to the left. For example 45% = 45 ÷ 100 = 0.45, and 7% = 0.07.
What is 12.5% as a decimal?
12.5% = 12.5 ÷ 100 = 0.125. As a fraction it is 125/1000, which simplifies to 1/8.
How do I convert a percentage smaller than 1% to a decimal?
Still divide by 100, adding zeros in front as needed: 0.5% = 0.005 and 0.25% = 0.0025. A common mistake is writing 0.5% as 0.5, which is actually 50%.
What about percentages over 100%?
They become decimals greater than 1: 150% = 1.5 and 250% = 2.5. A value of 1 means the whole amount, so 150% is one and a half times the amount.
Why do I need to convert an interest rate to a decimal?
Formulas such as simple interest (I = P × r × t) and compound interest use the rate as a decimal. A 6.5% rate must be entered as 0.065, otherwise the result is 100 times too large.
What is 33 1/3% as a decimal?
33 1/3% = (100/3) ÷ 100 = 1/3 = 0.333…, a repeating decimal written 0.(3) or with a bar over the 3. Typing 33.33% instead gives the rounded value 0.3333.
Are all the tools on FreeToolCabin tested for quality and accuracy?
Yes! Every tool on our site undergoes automated Q/A testing in real browser environments to ensure high precision, correct output, and zero errors. If you happen to spot a bug or have a suggestion, please contact us at [email protected] and our team will review it right away.
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