Percentage Calculator
Free percentage calculator. Find what percent of a number, determine what percentage one number is of another, or calculate the percent change between two values.
What is a Percentage?
A percentage expresses a number as a fraction of 100. It is used to compare values, analyze data, and measure proportions. The symbol “%” represents a percentage.
Example: A school has 200 students, and 50 are in the music club. The percentage is (50 ÷ 200) × 100 = 25%.
How to Calculate a Percentage
Formula: (Part ÷ Whole) × 100
Example: A fruit basket has 120 fruits, and 36 are oranges. The percentage of oranges is (36 ÷ 120) × 100 = 30%.
How to Convert Percentages
- Percentage to decimal: Divide by 100 (e.g., 75% = 0.75)
- Decimal to percentage: Multiply by 100 (e.g., 0.6 × 100 = 60%)
- Percentage to fraction: Place over 100 and simplify (e.g., 40% = 40/100 = 2/5)
Why Percentages Matter
Finance & Shopping: A 20% discount on a $50 item saves you $10. A bank offering 5% interest on $1,000 earns you $50 annually.
Data Analysis: Election results, survey findings, and trend analysis all rely on percentages.
Business: Sales growth from $10,000 to $12,000 is a 20% increase: ((12,000 - 10,000) ÷ 10,000) × 100 = 20%.
Health & Fitness: If 25% of a 2,000-calorie diet is protein, that equals 500 calories from protein.