Percentage Calculator
Calculate percentages easily. Find percentage increases, decreases, percentage of numbers, and more.
How to Calculate Percentages
1. What Percentage is X of Y?
To find what percentage one number is of another:
Formula: (X ÷ Y) × 100 = Percentage
Example: What percentage is 25 of 200?
(25 ÷ 200) × 100 = 12.5%
2. Percentage Increase or Decrease
To find the percentage change between two numbers:
Formula: ((New Value - Original Value) ÷ Original Value) × 100
Example: Price increased from $50 to $65
((65 - 50) ÷ 50) × 100 = 30% increase
3. What is X% of Y?
To find a percentage of a number:
Formula: (X ÷ 100) × Y = Result
Example: What is 20% of 150?
(20 ÷ 100) × 150 = 30
Common Percentage Calculations
Calculating Discounts
To find the final price after a discount:
- Calculate the discount amount: (Discount % ÷ 100) × Original Price
- Subtract from original price: Original Price - Discount Amount
Example: $100 item with 25% off
Discount: (25 ÷ 100) × $100 = $25
Final Price: $100 - $25 = $75
Calculating Tips
To calculate a tip on a bill:
Formula: (Tip % ÷ 100) × Bill Amount
Example: 15% tip on $80 bill
(15 ÷ 100) × $80 = $12
Calculating Tax
To add sales tax to a price:
- Calculate tax amount: (Tax % ÷ 100) × Price
- Add to original price: Price + Tax Amount
Example: $50 item with 8% tax
Tax: (8 ÷ 100) × $50 = $4
Total: $50 + $4 = $54
Percentage Quick Reference
| Percentage | Decimal | Fraction |
|---|---|---|
| 10% | 0.10 | 1/10 |
| 20% | 0.20 | 1/5 |
| 25% | 0.25 | 1/4 |
| 50% | 0.50 | 1/2 |
| 75% | 0.75 | 3/4 |
| 100% | 1.00 | 1/1 |
Real-World Applications
- Shopping: Calculate discounts and final prices
- Finance: Calculate interest rates, returns on investment
- Business: Calculate profit margins, growth rates
- Education: Calculate grades and test scores
- Health: Calculate body fat percentage, nutritional values
- Statistics: Represent data as percentages for easier comparison
Features
📊 4 Calculation Types
Calculate percentages, percentage increase/decrease, and percentage of a number.
⚡ Instant Results
Get accurate percentage calculations immediately.
🎯 Accurate Formulas
Uses standard mathematical formulas for precise results.
💯 100% Free
Unlimited calculations, no registration required.
🔒 Privacy First
All calculations happen in your browser. No data stored.
💼 Business Ready
Perfect for finance, sales, discounts, and business calculations.
Frequently Asked Questions
What does percentage mean?
Percentage means "per hundred." It's a way to express a number as a fraction of 100. For example, 25% means 25 per 100, or 25/100, or 0.25.
How do I convert a percentage to a decimal?
Divide the percentage by 100. For example, 45% = 45 ÷ 100 = 0.45
How do I convert a decimal to a percentage?
Multiply the decimal by 100. For example, 0.75 = 0.75 × 100 = 75%
Can a percentage be more than 100%?
Yes! Percentages over 100% indicate a value greater than the whole. For example, if sales doubled, that's a 100% increase, making it 200% of the original.
What's the difference between percentage and percentile?
A percentage is a fraction of 100. A percentile is a value below which a certain percentage of observations fall. For example, scoring in the 90th percentile means you scored better than 90% of test takers.
How do I calculate percentage increase?
Use this formula: ((New Value - Old Value) / Old Value) × 100. If the result is negative, it's a percentage decrease.