Percentage Calculator
Calculate percentages, percentage change, and percentage of totals. Covers the most common percentage problems with clear formulas.
Quick examples
How to Use Percentage Calculator
- 1Choose the type of percentage calculation you need.
- 2Enter the values in the input fields.
- 3See the result and the formula used.
- 4Copy the result or try another calculation type.
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Frequently Asked Questions
What is the formula for calculating a percentage?▾
Percentage of a value: result = (percent / 100) × total. Example: 15% of 200 = (15/100) × 200 = 30. What percent is X of Y: percent = (X / Y) × 100. Example: 30 is what % of 200 = (30/200) × 100 = 15%. Find original from percentage: original = value / (percent / 100). Example: 30 is 15% of what = 30 / 0.15 = 200.
How do I calculate percentage increase?▾
Percentage increase = ((new − old) / |old|) × 100. Example: from 80 to 100 = ((100 − 80) / 80) × 100 = 25% increase. For decrease, the result is negative: from 100 to 80 = ((80 − 100) / 100) × 100 = −20% (20% decrease). For year-over-year growth, the same formula applies: (this year − last year) / last year × 100.
How do I reverse a percentage (find the original value)?▾
If you know the result after a percentage change and want the original: original = result / (1 + percent/100) for an increase, or result / (1 − percent/100) for a decrease. Example: a price after a 20% increase is 120 — original = 120 / 1.20 = 100. Example: a discounted price of 80 after 20% off — original = 80 / 0.80 = 100.
How are percentages used in finance?▾
Finance uses percentages for: interest rates (5% annual), tax rates (VAT 20%), investment returns (CAGR), discounts, profit margins (gross profit / revenue × 100), markup ((price − cost) / cost × 100), and inflation. Compound interest: final = principal × (1 + rate/n)^(n×years), where n is compounding periods per year.
What is the difference between percentage points and percent?▾
A percentage point is an absolute difference between two percentages. If interest rates rise from 2% to 5%, they increased by 3 percentage points — but by 150% relative change ((5−2)/2 × 100). Confusing these is a common error: saying "rates went up 150%" sounds dramatic when "rates went up 3 percentage points" is the clearer description. Use "percentage points" for absolute differences between percentages.