Percentage Calculator

Calculate percentages easily - find percentage of a number, what percent one number is of another, percentage change, increase, or decrease with step-by-step solutions.

Calculate Percentage

%

Understanding Percentages

What is a Percentage?

A percentage is a way of expressing a number as a fraction of 100. The symbol % means “per hundred” or “out of 100”. For example, 25% means 25 out of 100, or 25/100, which equals 0.25 as a decimal.

Common Percentage Values

10%
0.1 or 1/10
25%
0.25 or 1/4
50%
0.5 or 1/2
75%
0.75 or 3/4

Real-World Applications

  • Shopping: Calculate discounts and sales tax
  • Finance: Interest rates, investment returns, and loan calculations
  • Statistics: Data analysis and probability
  • Grades: Academic scores and performance metrics
  • Business: Profit margins, growth rates, and market share

Quick Mental Math Tips

  • • To find 10% of any number, move the decimal point one place left
  • • To find 5%, calculate 10% and divide by 2
  • • To find 15%, calculate 10% and add half of it
  • • To find 20%, calculate 10% and double it
  • • To find 25%, divide by 4

Pro Tip: When dealing with percentage changes, remember that a 50% decrease followed by a 50% increase doesn't return you to the original value. For example: 100 → 50 (50% decrease) → 75 (50% increase). This is because percentages are calculated based on the current value, not the original.

Quick Reference

Decimal to %:× 100
% to Decimal:÷ 100
% of Number:(% ÷ 100) × N
% Change:((New-Old)/Old) × 100

Common Percentages

Sales Tax5-10%
Restaurant Tip15-20%
Discount Sale10-50%
Interest Rate3-7%

Calculator Tips

  • Use decimal values for precise calculations
  • Negative values work for decrease calculations
  • Check your calculation type before entering values
  • Results are rounded to 2 decimal places