Percentage Calculator
Comprehensive all-in-one percentage math suite: calculate percentages of numbers, percentage change, reverse percentages, discounts, tips, VAT & taxes, and fraction conversions instantly with step-by-step formulas.
What is P% of X?
Find the exact fractional value of any percentage.
X is what % of Y?
Find the ratio of a part to a total as a percentage.
X is P% of what?
Calculate the whole/base number from a known percentage.
Common Percentages & Fraction Conversion Chart
Quick mental math lookup table for standard percentages, fractions, and decimals.
| Percentage | Fraction | Decimal | Example (of 100) | Example (of 200) |
|---|---|---|---|---|
| 1% | 1/100 | 0.01 | 1 | 2 |
| 5% | 1/20 | 0.05 | 5 | 10 |
| 10% | 1/10 | 0.10 | 10 | 20 |
| 12.5% | 1/8 | 0.125 | 12.5 | 25 |
| 15% | 3/20 | 0.15 | 15 | 30 |
| 20% | 1/5 | 0.20 | 20 | 40 |
| 25% | 1/4 | 0.25 | 25 | 50 |
| 33.33% | 1/3 | 0.333... | 33.33 | 66.67 |
| 50% | 1/2 | 0.50 | 50 | 100 |
| 66.67% | 2/3 | 0.666... | 66.67 | 133.33 |
| 75% | 3/4 | 0.75 | 75 | 150 |
| 80% | 4/5 | 0.80 | 80 | 160 |
| 90% | 9/10 | 0.90 | 90 | 180 |
| 100% | 1/1 | 1.00 | 100 | 200 |
How Percentages Work: Formulas & Real-World Guides
A percentage is a dimensionless ratio expressed as a fraction of 100 (from Latin per centum, meaning "by the hundred"). Understanding how to manipulate percentages is one of the most practical everyday math skills.
Margin vs. Markup in Business
Markup is the percentage added to the cost price to determine the selling price: Markup% = ((Sell - Cost) / Cost) * 100.
Profit Margin is the percentage of the selling price that is profit: Margin% = ((Sell - Cost) / Sell) * 100. A 50% markup equals a 33.3% profit margin.
Compound Percentage Changes
Percentage changes cannot simply be added together. If a stock drops by 50% and then rises by 50%, you do not break even — you end with only 75% of your original investment: 100 * 0.50 * 1.50 = 75 (a 25% net loss).
Frequently Asked Questions
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