Percentage Calculator
Calculate percentages, percentage change, percentage increase/decrease, and solve percentage problems for business and academic use.
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Enhanced Percentage Calculator
Calculate percentages, percentage changes, and solve complex percentage problems with step-by-step solutions
How it works
“Percent” means “per hundred,” so a percentage is just a fraction with a denominator of 100. Every percentage question reduces to one of three forms: finding a part (X% of a number), finding what percent one number is of another, or finding the percent change between two numbers.
The three percentage forms
Part = (X ÷ 100) · Y Percent = (Part ÷ Whole) · 100 Change = (New − Old) ÷ Old · 100
- X
- the percentage figure (e.g. 15 for 15%)
- Y
- the base / whole amount
- Old, New
- the before and after values for percent change
Worked example
- What is 15% of 80?
- And: an increase from 50 to 65 is what percent?
- 15% of 80 = (15 ÷ 100) × 80 = 12
- Change = (65 − 50) ÷ 50 × 100 = 30%
15% of 80 = 12, and 50 → 65 is a 30% increase.
Good to know
- Percentage points ≠ percent: going from 5% to 7% is a rise of 2 percentage points, but a 40% increase in relative terms.
- Percentage changes don't cancel: a 50% gain followed by a 50% loss leaves you at 75% of where you started, not break-even.
- To reverse a percentage (find the original before a markup), divide rather than subtract: a price of $120 after 20% off was $120 ÷ 0.8 = $150.
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Frequently Asked Questions
How do I calculate percentage change?
Percentage change = ((New Value - Old Value) ÷ Old Value) × 100. Positive results show increases, negative results show decreases.
How do I find what percentage one number is of another?
Divide the part by the whole and multiply by 100: (Part ÷ Whole) × 100 = Percentage. Example: 15 of 60 = (15÷60) × 100 = 25%.
How do I calculate percentage increase?
Percentage increase = ((New Value - Original Value) ÷ Original Value) × 100. Only use when the new value is greater than the original.
What is the difference between percentage points and percent?
Percentage points measure absolute change (30% to 40% = 10 percentage points), while percent measures relative change (30% to 40% = 33.33% increase).
How do I reverse calculate from a percentage?
To find the original value: Original = Final ÷ (1 + Percentage/100). For a 20% increase: Original = Final ÷ 1.20.
How do I calculate compound percentages?
For multiple percentage changes, multiply the factors: (1 + %1/100) × (1 + %2/100). A 10% increase then 20% increase = 1.10 × 1.20 = 1.32 or 32% total increase.