Numbers & Percentages
Percentage Calculator
Find a percentage of a number, what percent one number is of another, percentage change, and prices after a discount.
Result
Updates as you typeResult (A × B / 100)
225
How it's calculated
A percentage says how many parts out of 100 an amount represents. This calculator answers the five percentage questions people ask most often: pick the question, then enter the two numbers.
Worked example
- 18% of 1,250: 1,250 × 18 / 100 = 225
- 45 as a percent of 180: 45 / 180 × 100 = 25%
- Change from 80 to 100: (100 − 80) / 80 × 100 = 25% increase
- 750 with 30% off: 750 × 0.70 = 525
Percentage table
Common percentages
| Percent | of 100 | of 1,000 | of 5,000 | of 10,000 |
|---|---|---|---|---|
| Percent: 5% | of 1005 | of 1,00050 | of 5,000250 | of 10,000500 |
| Percent: 10% | of 10010 | of 1,000100 | of 5,000500 | of 10,0001,000 |
| Percent: 15% | of 10015 | of 1,000150 | of 5,000750 | of 10,0001,500 |
| Percent: 18% | of 10018 | of 1,000180 | of 5,000900 | of 10,0001,800 |
| Percent: 20% | of 10020 | of 1,000200 | of 5,0001,000 | of 10,0002,000 |
| Percent: 25% | of 10025 | of 1,000250 | of 5,0001,250 | of 10,0002,500 |
| Percent: 30% | of 10030 | of 1,000300 | of 5,0001,500 | of 10,0003,000 |
| Percent: 50% | of 10050 | of 1,000500 | of 5,0002,500 | of 10,0005,000 |
Frequently asked questions
How do I calculate a percentage of a number?
Multiply the number by the percentage and divide by 100. For example, 18% of 1,250 is 1,250 × 18 / 100 = 225.
How do I work out what percent one number is of another?
Divide the part by the whole and multiply by 100. For example, 45 is 45 / 180 × 100 = 25% of 180.
How is percentage change calculated?
Subtract the old value from the new one, divide by the old value and multiply by 100: (new − old) / old × 100. A price that goes from 80 to 100 has risen by 25%; one that falls from 100 to 80 has dropped by 20%.
Why doesn't a 20% rise followed by a 20% cut get back to the original price?
Because each percentage is taken from a different amount. 100 plus 20% is 120; 20% of 120 is 24, so the price after the cut is 96, not 100.
How do I calculate a discounted price?
Multiply the price by (1 − discount / 100). A 750 item with 30% off costs 750 × 0.70 = 525; the discount is 225.
What is the difference between percent and percentage points?
If a rate moves from 40% to 45%, it has risen by 5 percentage points but by 12.5 percent (5 / 40 × 100). Differences between rates are percentage points; relative changes are percent.
Results are rounded to at most four decimal places.
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