Percentage Calculator
Calculate percentages quickly and accurately. Find percentage of a number, percentage increase, decrease, and more with our free online percentage calculator.
What is X% of Y?
About This Percentage Calculator
Our free percentage calculator helps you quickly calculate percentages for everyday use. Whether you're calculating discounts while shopping, finding tips at restaurants, determining grade scores, or analyzing business metrics, this tool provides instant and accurate results. For specific discount calculations, try our discount calculator or for restaurant tips, use our tip calculator.
The calculator shows you the percentage result, the calculation used, and bonus information including what the value would be with the percentage added (increase) or subtracted (decrease). This makes it easy to see the full picture of your percentage calculations. For academic calculations, check out our GPA calculator or grade calculator.
How to Use the Percentage Calculator
- Enter the Percentage: Input the percentage you want to calculate (e.g., 20 for 20%).
- Enter the Value: Input the number you want to find the percentage of (e.g., 100).
- Click Calculate: Get instant results showing what X% of Y equals.
- View Additional Results: See the value with percentage increase and decrease for complete information.
Common Percentage Calculations
Finding X% of Y: Simply multiply the number by the percentage as a decimal. For example, 25% of 200 = 200 × 0.25 = 50.
Percentage Increase: This shows what the original value becomes after adding the percentage. For example, 200 + 25% = 200 + 50 = 250.
Percentage Decrease: This shows what the original value becomes after subtracting the percentage. For example, 200 - 25% = 200 - 50 = 150.
Real-World Percentage Examples
Shopping & Discounts
Example: A $80 shirt is on sale for 25% off. How much do you save, and what's the final price?
- Discount amount: 25% of $80 = $20
- Final price: $80 - $20 = $60
Tips & Service Charges
Example: Your restaurant bill is $45, and you want to leave a 20% tip. How much is the tip?
- Tip amount: 20% of $45 = $9
- Total to pay: $45 + $9 = $54
Grade Calculations
Example: You got 42 questions correct out of 50. What's your percentage score?
- Score: (42 ÷ 50) × 100 = 84%
Business & Finance
Example: Your sales increased from $10,000 to $12,500. What's the percentage increase?
- Increase: $12,500 - $10,000 = $2,500
- Percentage: ($2,500 ÷ $10,000) × 100 = 25% increase
Tax Calculations
Example: An item costs $100 before tax. If sales tax is 8%, what's the total?
- Tax amount: 8% of $100 = $8
- Total price: $100 + $8 = $108
Percentage Formulas
Basic Percentage Formula
Formula: Percentage = (Part ÷ Whole) × 100
Example: What percentage is 30 of 150?
(30 ÷ 150) × 100 = 20%
Find X% of Y
Formula: Result = (Percentage ÷ 100) × Value
Example: What is 15% of 200?
(15 ÷ 100) × 200 = 30
Percentage Increase
Formula: % Increase = ((New Value - Old Value) ÷ Old Value) × 100
Example: Price increased from $50 to $65
((65 - 50) ÷ 50) × 100 = 30% increase
Percentage Decrease
Formula: % Decrease = ((Old Value - New Value) ÷ Old Value) × 100
Example: Price decreased from $100 to $75
((100 - 75) ÷ 100) × 100 = 25% decrease
Percentage Change
Formula: % Change = ((New - Old) ÷ Old) × 100
Note: Positive result = increase, Negative result = decrease
Converting Between Formats
- Percentage to Decimal: Divide by 100 (e.g., 75% = 0.75)
- Decimal to Percentage: Multiply by 100 (e.g., 0.5 = 50%)
- Percentage to Fraction: Write over 100 and simplify (e.g., 25% = 25/100 = 1/4)
- Fraction to Percentage: Divide and multiply by 100 (e.g., 3/4 = 0.75 × 100 = 75%)