Percentage Calculator
Calculate percentages, discounts, tips, and percentage changes instantly. Perfect for math, finance, and everyday calculations.
How to Use the Percentage Calculator
Common Percentage Calculations Explained
Real-World Applications of Percentage Calculations
Tips for Accurate Percentage Calculations
Frequently Asked Questions
How do I calculate a percentage?▼
To calculate what percentage one number is of another, divide the part by the whole and multiply by 100. For example, to find what percentage 25 is of 100: (25 ÷ 100) × 100 = 25%. Our calculator does this automatically when you select "Percentage" mode and enter your values.
How do I calculate percentage increase?▼
To calculate percentage increase, subtract the original value from the new value, divide by the original value, and multiply by 100. Formula: ((New Value - Original Value) ÷ Original Value) × 100. For example, if a price increases from $100 to $120: ((120 - 100) ÷ 100) × 100 = 20% increase.
How do I calculate percentage decrease?▼
To calculate percentage decrease, subtract the new value from the original value, divide by the original value, and multiply by 100. Formula: ((Original Value - New Value) ÷ Original Value) × 100. For example, if a price drops from $100 to $80: ((100 - 80) ÷ 100) × 100 = 20% decrease.
How do I calculate discount percentage?▼
To find the discount percentage, subtract the sale price from the original price, divide by the original price, and multiply by 100. Formula: ((Original Price - Sale Price) ÷ Original Price) × 100. For example, if an item originally costs $50 and is on sale for $40: ((50 - 40) ÷ 50) × 100 = 20% discount.
How do I calculate a tip percentage?▼
To calculate a tip, multiply the bill amount by the tip percentage and divide by 100. Formula: (Bill Amount × Tip %) ÷ 100. For example, a 15% tip on a $50 bill: (50 × 15) ÷ 100 = $7.50. Add this to the bill for the total: $50 + $7.50 = $57.50.
What is the difference between percentage and percentile?▼
A percentage is a fraction expressed as a part of 100 (e.g., 50% means 50 out of 100). A percentile is a statistical measure indicating the value below which a given percentage of observations fall (e.g., 90th percentile means you scored better than 90% of people). Percentages measure proportions, while percentiles measure relative standing.
How do I convert a fraction to a percentage?▼
To convert a fraction to a percentage, divide the numerator by the denominator and multiply by 100. For example, to convert 3/4 to a percentage: (3 ÷ 4) × 100 = 75%. You can also multiply the fraction by 100: (3/4) × 100 = 75%.
How do I convert a decimal to a percentage?▼
To convert a decimal to a percentage, multiply by 100 and add the % symbol. For example, 0.75 × 100 = 75%. To convert a percentage to a decimal, divide by 100: 75% ÷ 100 = 0.75. This is useful for calculations involving percentages.
Can I calculate percentage of a percentage?▼
Yes, to find a percentage of a percentage, convert both to decimals, multiply them, then convert back to a percentage. For example, 20% of 50% = 0.20 × 0.50 = 0.10 = 10%. This is useful for calculating compound discounts or successive percentage changes.
Why are my percentage calculations sometimes off by a small amount?▼
Small discrepancies in percentage calculations usually result from rounding. When you round intermediate steps, the final result may differ slightly from the exact answer. Our calculator uses precise decimal values throughout the calculation and only rounds the final result to 2 decimal places for accuracy.