How to Calculate a Percentage
A percentage is a way of expressing a number as a fraction of 100. The word "percent" literally means "per hundred." There are four common percentage calculations โ all handled by this calculator.
Common Percentage Reference Table
Here are the most frequently needed percentage calculations for quick reference:
| Percentage | Of 100 | Of 200 | Of 500 | Of 1,000 |
|---|---|---|---|---|
| 5% | 5 | 10 | 25 | 50 |
| 10% | 10 | 20 | 50 | 100 |
| 15% | 15 | 30 | 75 | 150 |
| 20% | 20 | 40 | 100 | 200 |
| 25% | 25 | 50 | 125 | 250 |
| 50% | 50 | 100 | 250 | 500 |
| 75% | 75 | 150 | 375 | 750 |
Everyday Uses for Percentage Calculations
Quick Mental Percentage Tricks
These shortcuts make percentage calculations faster without a calculator:
- 10% of any number โ move the decimal point one place to the left. 10% of 340 = 34
- 5% of any number โ find 10% and halve it. 5% of 340 = 17
- 20% of any number โ find 10% and double it. 20% of 340 = 68
- 25% of any number โ divide by 4. 25% of 340 = 85
- 50% of any number โ divide by 2. 50% of 340 = 170
- Reverse percentages โ X% of Y = Y% of X. So 8% of 25 = 25% of 8 = 2
FAQs
How do I calculate a percentage?
Divide the part by the whole and multiply by 100. For example, 45 out of 60 is (45 รท 60) ร 100 = 75%.
How do I calculate a percentage increase?
Subtract the original value from the new value, divide by the original, then multiply by 100. For example, 80 to 100 is ((100 โ 80) รท 80) ร 100 = 25% increase.
What is 20% of a number?
Divide the number by 5. For example, 20% of 150 = 150 รท 5 = 30. Or use the calculator above for any amount instantly.
How do I work out what percentage one number is of another?
Divide the first number by the second and multiply by 100. For example, 30 is what percentage of 150? (30 รท 150) ร 100 = 20%.
What is the difference between percentage increase and percentage decrease?
A percentage increase measures how much a value has grown relative to the original. A percentage decrease measures how much it has fallen. Both use the original value as the reference point.
Is this calculator free?
Yes โ completely free, no sign-up required.