What Percent Is X of Y? Calculator
Type the part and the whole to see what percentage the part is, for test scores, budgets, survey answers or anything out of a total.
is what percent of ?
Percentage of the whole
75%
42 is 75% of 56.
How this works: Method, 1 source, Checked against 2 worked examples,
How this works
Method
Divide the part by the whole, then multiply by 100. For 42 out of 56: 42 ÷ 56 = 0.75, and 0.75 × 100 = 75%. The division gives the share as a decimal; multiplying by 100 says the same share per hundred. Full method
Sources
How it’s tested
2 worked examples for this page are checked by automated tests before every release: given the inputs, the tool must show the expected answer.
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Changes
- Added eight pages for common questions, from percent of a number to percent error and reverse percentages, each with its own method, examples and table.
- Added key facts with a worked example of each formula.
- Redesigned: type the numbers straight into a sentence, with bars on one scale that picture the answer.
- Results now update as you type, with no Calculate button.
- First published.
How to work out what percent one number is of another
Divide the part by the whole, then multiply by 100. For 42 out of 56: 42 ÷ 56 = 0.75, and 0.75 × 100 = 75%. The division gives the share as a decimal; multiplying by 100 says the same share per hundred.
Some shares never come out even. One out of three is 0.333… with the 3 repeating for ever, so it is 33⅓% exactly, or 33.33% to two decimal places. This calculator divides with exact fractions and only rounds what it shows, so you can add decimal places from the ⋯ menu without the answer drifting.
The whole must be the thing you are measuring against. “What percent of the class passed?” divides by the class size; “passes as a percent of fails” divides by the number who failed, which is a different question with a different answer.
percentage = part ÷ whole × 100
- A percentage is a ratio expressed as a fraction of 100, so 75% and 3/4 and 0.75 are the same number written three ways. Source: Wikipedia, Percentage.
Test scores as percentages
Marks out of 20, 25, 40 and 50, as percentages to one decimal place.
| Score | Out of 20 | Out of 25 | Out of 40 | Out of 50 |
|---|---|---|---|---|
| 1 | 5% | 4% | 2.5% | 2% |
| 2 | 10% | 8% | 5% | 4% |
| 3 | 15% | 12% | 7.5% | 6% |
| 4 | 20% | 16% | 10% | 8% |
| 5 | 25% | 20% | 12.5% | 10% |
| 6 | 30% | 24% | 15% | 12% |
| 7 | 35% | 28% | 17.5% | 14% |
| 8 | 40% | 32% | 20% | 16% |
| 9 | 45% | 36% | 22.5% | 18% |
| 10 | 50% | 40% | 25% | 20% |
Show all 20 rowsShow fewer
| 11 | 55% | 44% | 27.5% | 22% |
| 12 | 60% | 48% | 30% | 24% |
| 13 | 65% | 52% | 32.5% | 26% |
| 14 | 70% | 56% | 35% | 28% |
| 15 | 75% | 60% | 37.5% | 30% |
| 16 | 80% | 64% | 40% | 32% |
| 17 | 85% | 68% | 42.5% | 34% |
| 18 | 90% | 72% | 45% | 36% |
| 19 | 95% | 76% | 47.5% | 38% |
| 20 | 100% | 80% | 50% | 40% |
Frequently Asked Questions
What percent is 18 out of 24?
18 ÷ 24 = 0.75, so it is 75%. Both numbers share a factor of 6, which is why the fraction simplifies to 3/4.
How do I find what percent a number is of a total when the part is bigger?
The same way: 30 out of 20 is 30 ÷ 20 × 100 = 150%. A result over 100% just means the part is larger than the whole you compared it with.
Why does 2 out of 3 show as 66.67%?
2 ÷ 3 = 0.6666… with the 6 repeating, so the exact answer is 66⅔%. Rounded to two decimal places the last 6 rounds up, giving 66.67%.