Percent Of Calculator
Calculate X% of Y with step-by-step explanation and real-world examples.
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Formula
result = (percentage / 100) × numberExample
Complete Guide
Reviewed by PercentLab Editorial Team · Last updated:
A percent of calculator answers the first of three percentage questions: what is X% of Y? The formula is result = (percentage / 100) x number — 20% of 500 is 0.20 x 500 = 100. The other two questions (Y is what % of X, and Y is P% of what) use the same numbers rearranged, and confusing them is the most common error on this page.
For mental math, anchor everything on 10%: move the decimal one place left (10% of 250 = 25). From there, 5% is half of 10%, 20% is double, 25% is divide by 4, and 50% is divide by 2. Five anchors cover nearly every everyday calculation without a calculator.
This page is the hub of the percentage family: discounts take a slice off, sales tax adds one on, and percentage increase compares two values. Use the worked examples below, then follow the related calculators for your exact question.
Worked examples
Basic: 20% of 500
- Convert the percent to a decimal: 20 / 100 = 0.20.
- Multiply: 0.20 x 500 = 100.
20% of 500 is 100.
Reverse: 30 is what % of 120
- Divide part by whole: 30 / 120 = 0.25.
- Multiply by 100: 0.25 x 100 = 25%.
30 is 25% of 120.
Find the whole: 45 is 30% of what
- Divide the part by the decimal: 45 / 0.30.
- Result: 150.
- Check: 0.30 x 150 = 45.
The whole is 150.
Mental shortcuts that always work (shown on $200).
| Shortcut | Math | On $200 |
|---|---|---|
| 10% — move decimal | 200 → 20.0 | $20 |
| 5% — half of 10% | 20 / 2 | $10 |
| 20% — double 10% | 20 x 2 | $40 |
| 25% — divide by 4 | 200 / 4 | $50 |
| 50% — divide by 2 | 200 / 2 | $100 |
Mistakes to avoid
Confusing % of with % more than
20% of 100 is 20; 20% more than 100 is 120. One slices, one grows — different calculators.
Forgetting to divide by 100
20 x 500 = 10,000 is not 20% of anything. Always convert the percent to a decimal first.
Misplacing the decimal on small percents
0.5% of 200 is 1, not 10: 0.5 / 100 = 0.005, and 0.005 x 200 = 1.
Frequently Asked Questions
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