Math Calculators

Percentage Calculator

Our free percentage calculator handles the most common percentage questions: what is X% of Y, what percentage is X of Y, and percentage change between two numbers.

Calculator

Percentage Calculator

Sample inputs

Formula explanation

How this calculator works

Core formula

percent of, percent share, or percentage change depending on mode

The calculator switches between three common percentage formulas: finding a share of a number, finding what percent one value is of another, and measuring change from one value to another.

  • Percentage change uses the first value as the base.
  • Formatted output adds percent signs only when the mode requires it.

Learn more

Percentage Calculator - Practical Guide and Formula Notes

Calculate percentages, percentage increases, and percentage of a number instantly.

How to Use the Percentage Calculator

Our free percentage calculator handles the most common percentage questions: what is X% of Y, what percentage is X of Y, and percentage change between two numbers. The calculator is designed to give a fast answer, but the quality of the answer still depends on accurate inputs and a clear idea of what decision you are trying to support.

  1. Enter Calculation Type, First Value, and Second Value using the same units you plan to compare or report.
  2. Read the main result first, then use the supporting outputs to understand the trade-offs behind that result.
  3. Compare your numbers with the worked examples below if you want a quick reasonableness check.

What Your Result Means

The calculator switches between the most common percentage questions so you can move from raw numbers to a share, rate, or change figure quickly. On this page, the primary output is result.

Scenario 1: What is 25% of 200?. Inputs used: mode: of, valueA: 25, valueB: 200. Example result: 50. 25% of 200 = 200 × 0.25 = 50. Scenario 2: Percentage change from 80 to 100. Inputs used: mode: change, valueA: 80, valueB: 100. Example result: +25%. (100-80)/80 × 100 = 25% increase.

Formula and Assumptions

Core formula: percent of, percent share, or percentage change depending on mode. The calculator switches between three common percentage formulas: finding a share of a number, finding what percent one value is of another, and measuring change from one value to another.

  1. Percentage change uses the first value as the base.
  2. Formatted output adds percent signs only when the mode requires it.

When to Use This Percentage Calculator

Use this calculator when reviewing discounts, growth, margins, survey data, or any comparison where relative scale matters. Related paths for follow-up analysis include fraction calculator, vat calculator, and roi calculator.

Common Mistakes to Avoid

Most bad outputs come from a few repeated input errors or interpretation mistakes. Use this short checklist before relying on the result.

  1. Using the wrong mode for the question you are trying to answer.
  2. Confusing percentage points with percent change.
  3. Using the new value as the base when the old value should be the reference.

Examples

Real scenarios you can copy

What is 25% of 200?

Result: 50

25% of 200 = 200 × 0.25 = 50.

Percentage change from 80 to 100

Result: +25%

(100-80)/80 × 100 = 25% increase.

FAQ

Key questions answered

How do I calculate a percentage?

To find X% of Y: multiply Y by X/100. For example, 25% of 200 = 200 × 0.25 = 50.

How do I calculate percentage change?

Percentage change = (New Value - Old Value) / Old Value × 100. A positive result is an increase, negative is a decrease.

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