How to Calculate a Percentage (With Examples)
Learn how to calculate a percentage of a number, find what percent one number is of another, and convert between percentages, decimals and fractions.
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Frequently asked questions
How do I calculate a percentage of a number?
Multiply the number by the percentage and divide by 100. For 20% of 150: (20 ÷ 100) × 150 = 30.
How do I find what percentage one number is of another?
Divide the part by the whole and multiply by 100. 18 out of 24 is (18 ÷ 24) × 100 = 75%.
How do I convert a percentage to a decimal?
Divide by 100. 45% becomes 0.45. To go back, multiply a decimal by 100.
How do I turn a fraction into a percentage?
Divide the top number by the bottom number to get a decimal, then multiply by 100. 3/4 = 0.75 = 75%.
What does per cent actually mean?
“Per cent” means “per hundred.” A percentage expresses a part out of 100, so 30% is 30 out of every 100.
How to Calculate a Percentage (With Examples)
A percentage is just a number out of 100. “Per cent” literally means “per hundred,” so 25% is 25 out of every 100, or one quarter. Once you know that, three everyday percentage tasks become easy.
The basic formula
Percentage = (Part ÷ Whole) × 100. The part is the amount you are interested in; the whole is the total it belongs to.
Find a percentage of a number
To find X% of a number, multiply the number by X and divide by 100: (X ÷ 100) × number.
| Problem | Calculation | Answer |
|---|---|---|
| 20% of 150 | (20 ÷ 100) × 150 | 30 |
| 8% of 2,500 | (8 ÷ 100) × 2,500 | 200 |
| 150% of 60 | (150 ÷ 100) × 60 | 90 |
Find what percent one number is of another
Divide the part by the whole and multiply by 100. If 18 of 24 students passed, that is (18 ÷ 24) × 100 = 75%.
Convert between percentages, decimals and fractions
- Percentage → decimal: divide by 100 (45% = 0.45).
- Decimal → percentage: multiply by 100 (0.6 = 60%).
- Fraction → percentage: divide top by bottom, then × 100 (3/4 = 0.75 = 75%).
Where you use it
Discounts, tips, taxes, test scores, interest, commission and statistics all run on percentages — which is why getting the basic method right pays off everywhere.
Results are estimates for general guidance in Germany and may not reflect the latest local rates, fees or rules. Check official sources before making decisions.