CalculatorsMath Calculators

Percentage Calculator

Isabelle Clarke's avatar

Created by: Isabelle Clarke

Last updated:

Calculate percentages, percentage increases, and percentage differences. Perfect for discounts, tips, and analysis.

What is a Percentage Calculator?

A Percentage Calculator is a versatile tool used to perform various calculations involving percentages. It can help you find the percentage of a number, determine the percentage change between two values (increase or decrease), and calculate what percentage one number represents of another number. Percentages are fundamental in many areas, including finance, statistics, retail, and everyday problem-solving.

Common Percentage Calculations:

  • What is X% of Y? (e.g., What is 20% of 150?)
  • X is what percent of Y? (e.g., 30 is what percent of 150?)
  • Percentage Change: What is the percentage increase/decrease from X to Y? (e.g., What is the percentage change from 120 to 150?)

Formulas Used

1. Percentage of a Number:

Percentage = (Part / Whole) × 100
Part = (Percentage / 100) × Whole

2. X is what percent of Y:

Percentage = (X / Y) × 100

3. Percentage Change (Increase/Decrease):

Percentage Change = ((New Value - Old Value) / Old Value) × 100

How to Use the Percentage Calculator

Select the type of percentage calculation you want to perform. Enter the required values in the input fields. The calculator will then display the result. For example, to find 25% of 200, select "What is X% of Y?", enter 25 for X and 200 for Y.

Sources and References

  1. Bennett, J. O., & Briggs, W. L. (2019). *Using & Understanding Mathematics: A Quantitative Reasoning Approach* (7th ed.). Pearson.
  2. Smith, K. J. (2012). *The Nature of Mathematics* (12th ed.). Cengage Learning.