Percentage Calculator

Calculate percentages, find percentage of a number, or determine percentage increase/decrease with our easy-to-use calculator.

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How to Calculate Percentages
Finding a percentage of a number

To find a percentage of a number, multiply the percentage (as a decimal) by the number:

Formula: (Percentage / 100) × Number

Example: What is 25% of 200?

(25 / 100) × 200 = 0.25 × 200 = 50

Finding what percentage one number is of another

To find what percentage one number is of another, divide the first number by the second, then multiply by 100:

Formula: (Number1 / Number2) × 100

Example: 50 is what percentage of 200?

(50 / 200) × 100 = 0.25 × 100 = 25%

Finding percentage increase or decrease

To find the percentage change between two values, subtract the original value from the new value, divide by the original value, then multiply by 100:

Formula: ((New Value - Original Value) / Original Value) × 100

Example: What is the percentage increase from 100 to 125?

((125 - 100) / 100) × 100 = (25 / 100) × 100 = 0.25 × 100 = 25%

Finding the original value before a percentage change

To find the original value before a percentage change, when you know the final value and the percentage change:

Formula for increase: Original Value = Final Value / (1 + (Percentage Change / 100))

Example: If a value increased by 25% to 125, what was the original value?

Original Value = 125 / (1 + (25 / 100)) = 125 / 1.25 = 100

Formula for decrease: Original Value = Final Value / (1 - (Percentage Change / 100))

Example: If a value decreased by 20% to 80, what was the original value?

Original Value = 80 / (1 - (20 / 100)) = 80 / 0.8 = 100

Finding the final value after a percentage change

To find the final value after a percentage change, when you know the original value and the percentage change:

Formula for increase: Final Value = Original Value × (1 + (Percentage Change / 100))

Example: If a value of 100 increases by 25%, what is the final value?

Final Value = 100 × (1 + (25 / 100)) = 100 × 1.25 = 125

Formula for decrease: Final Value = Original Value × (1 - (Percentage Change / 100))

Example: If a value of 100 decreases by 20%, what is the final value?

Final Value = 100 × (1 - (20 / 100)) = 100 × 0.8 = 80

About Percentage Calculator

Our Percentage Calculator helps you solve various percentage problems quickly and easily. It can be used for:

  • Finding a percentage of a number (e.g., 25% of 200)
  • Finding what value is a given percentage of another value
  • Calculating percentage increase or decrease between two values
  • Finding the original value before a percentage change
  • Calculating the final value after a percentage change

Percentages are used in many everyday situations, from calculating discounts and tips to understanding statistics and data analysis.

Percentage Tips
Quick Percentage Calculations
  • 10% of a number: Move the decimal point one place to the left
  • 1% of a number: Move the decimal point two places to the left
  • 25% of a number: Divide by 4
  • 50% of a number: Divide by 2
  • 200% of a number: Multiply by 2
Common Percentage Applications
  • Discounts: Calculate sale prices by subtracting the discount percentage from 100% and multiplying by the original price
  • Tips: Calculate tips by multiplying the bill amount by the tip percentage (e.g., 15% or 20%)
  • Tax: Calculate tax by multiplying the price by the tax rate percentage
  • Interest: Calculate interest by multiplying the principal by the interest rate percentage
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