Percentage Calculator
Calculate percentages, increases, decreases, and discounts with this simple calculator.
Calculate Percentage of a Number
%
How to Calculate Percentages
X% of Y
To find X% of Y, multiply Y by X and then divide by 100.
Result = (Y × X) ÷ 100X is what percent of Y?
To find what percent X is of Y, divide X by Y and then multiply by 100.
Result = (X ÷ Y) × 100Percentage Increase
To calculate a value increased by X%, multiply the original value by (1 + X/100).
Result = Original × (1 + X/100)Percentage Decrease
To calculate a value decreased by X%, multiply the original value by (1 - X/100).
Result = Original × (1 - X/100)Discount (Percent Off)
To calculate the price after a discount of X%, multiply the original price by (1 - X/100).
Result = Original × (1 - X/100)Common Percentage Examples
Percentage in Real Life
- Sales tax (e.g., 8% tax on $100 = $8 tax)
- Discounts (e.g., 20% off $50 = $10 off, final price $40)
- Tips (e.g., 15% tip on $60 bill = $9 tip)
- Grades (e.g., 85 points out of 100 = 85%)
Financial Applications
- Interest rates (e.g., 5% annual interest on $1000 = $50 per year)
- Profit margins (e.g., 25% margin means $25 profit on $100 sale)
- Investment returns (e.g., 12% annual return on $5000 = $600)
- Inflation (e.g., 3% inflation means $100 is worth $97 next year)
About Percentage Calculations
Common Formulas
- X% of Y: Result = (Y × X) ÷ 100
- X is what % of Y: Result = (X ÷ Y) × 100
- Increase by X%: Result = Original × (1 + X/100)
- Decrease by X%: Result = Original × (1 - X/100)
- Discount: Result = Original × (1 - X/100)
Real-World Applications
- Sales taxes and discounts
- Tips and gratuities
- Interest rates and loan calculations
- Investment returns and growth
- Profit margins and markups
- Nutritional information (% daily values)
- Academic grading and scoring
- Statistical analysis and data interpretation