Percentage Calculator
Solve three types of percentage problems: find % of a value, find what percent one value is of another, and calculate percentage increase or decrease.
To find X% of Y: (X ÷ 100) × Y. To find what percent X is of Y: (X ÷ Y) × 100. Percentage change = ((new - old) ÷ old) × 100.
Percentage Formulas
The calculator handles three common percentage scenarios:
1. **Find X% of a value**: (X ÷ 100) × Y Example: What is 20% of 150? → (20 ÷ 100) × 150 = 30
2. **Find what percent X is of Y**: (X ÷ Y) × 100 Example: What percent is 45 of 150? → (45 ÷ 150) × 100 = 30%
3. **Percentage increase/decrease**: ((New - Old) ÷ Old) × 100 Example: Price goes from $100 to $120. → ((120 - 100) ÷ 100) × 100 = 20% increase
Each formula is displayed on the tool page so you can verify the math.
Worked Examples
Example 1: What is 15% of 200? → (15 ÷ 100) × 200 = 30
Example 2: 18 is what percent of 60? → (18 ÷ 60) × 100 = 30%
Example 3: A price increases from $80 to $100. What is the percentage increase? → ((100 - 80) ÷ 80) × 100 = (20 ÷ 80) × 100 = 25% increase
Percentage in Real Life
Percentages appear everywhere:
- Sales: "20% off" means you pay 80% of the original price - Tax: " sales tax is 7%" on your purchase - Finance: "Your savings earned 5% interest this year" - Statistics: "30% of people prefer option A" - Health: "Body fat percentage of 20%"
Understanding percentages helps you make informed decisions during shopping, banking, and reading statistics.
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Open calculator →Frequently Asked Questions
How do I calculate percentage increase?
Percentage increase = ((New Value - Old Value) ÷ Old Value) × 100. For example, if a price goes from $50 to $65: ((65 - 50) ÷ 50) × 100 = 30% increase.
Can percentages be greater than 100%
Yes. A percentage over 100% means the new value is more than double the original. For example, if a company's revenue goes from $1M to $3M, that's a 200% increase.
What's the difference between percentage points and percent change?
Percentage points measure the absolute difference between two percentages (e.g., going from 20% to 25% is a 5-percentage-point increase, or a 25% increase relative to the original 20%). This calculator shows both views.
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