Percentage Calculator

Calculate various types of percentages quickly and easily

Basic Percentage
Percentage Increase
Percentage Decrease
Percentage Difference

Basic Percentage Calculator

Calculate what percentage one number is of another number.

25%

25 is 25% of 100

Calculation Steps:

To find what percentage X is of Y:

(X ÷ Y) × 100 = Percentage

(25 ÷ 100) × 100 = 25%

Percentage Increase Calculator

Calculate the percentage increase from an original value to a new value.

20%

The increase from 100 to 120 is 20%

Calculation Steps:

To find the percentage increase from X to Y:

((Y - X) ÷ X) × 100 = Percentage Increase

((120 - 100) ÷ 100) × 100 = 20%

Percentage Decrease Calculator

Calculate the percentage decrease from an original value to a new value.

20%

The decrease from 100 to 80 is 20%

Calculation Steps:

To find the percentage decrease from X to Y:

((X - Y) ÷ X) × 100 = Percentage Decrease

((100 - 80) ÷ 100) × 100 = 20%

Percentage Difference Calculator

Calculate the percentage difference between two values.

25%

The percentage difference between 80 and 100 is 25%

Calculation Steps:

To find the percentage difference between X and Y:

(|X - Y| ÷ ((X + Y) ÷ 2)) × 100 = Percentage Difference

(|80 - 100| ÷ ((80 + 100) ÷ 2)) × 100 = 25%

Common Percentage Calculations

Sales Tax

To calculate 8% sales tax on $50:

$50 × 0.08 = $4

Total: $50 + $4 = $54

Discount

To calculate a 25% discount on $80:

$80 × 0.25 = $20

Sale price: $80 - $20 = $60

Tip Calculation

To calculate a 15% tip on $45:

$45 × 0.15 = $6.75

Total with tip: $45 + $6.75 = $51.75

Grade Percentage

To calculate a test score of 42 out of 50:

(42 ÷ 50) × 100 = 84%

About Percentage Calculations

Percentages are a way of expressing numbers as fractions of 100. They are used in everyday life for various calculations, from discounts and taxes to statistics and data analysis.

Types of Percentage Calculations

  • Basic Percentage: Finding what percentage one number is of another.
  • Percentage Increase: Calculating the percentage by which a value has increased.
  • Percentage Decrease: Calculating the percentage by which a value has decreased.
  • Percentage Difference: Finding the percentage difference between two values.

Common Uses for Percentage Calculations

  • Finance: Interest rates, discounts, taxes, and investment returns.
  • Business: Profit margins, sales growth, market share, and price markups.
  • Education: Grading systems, test scores, and academic performance analysis.
  • Statistics: Data analysis, survey results, and demographic information.
  • Everyday Life: Tipping at restaurants, calculating discounts, and comparing prices.

Percentage Formulas

  1. Basic Percentage: (Value ÷ Total) × 100 = Percentage
  2. Finding a Percentage of a Number: Number × (Percentage ÷ 100) = Result
  3. Percentage Increase: ((New Value - Original Value) ÷ Original Value) × 100 = Percentage Increase
  4. Percentage Decrease: ((Original Value - New Value) ÷ Original Value) × 100 = Percentage Decrease
  5. Percentage Difference: (|Value 1 - Value 2| ÷ ((Value 1 + Value 2) ÷ 2)) × 100 = Percentage Difference