How To Calculate Percentage

A complete step-by-step guide to understanding and calculating percentages. Use the interactive calculator below for instant percentage calculations and real-world examples.

Step-by-Step Percentage Calculation Guide

Calculating percentages involves simple formulas that can be applied in various situations. Here are the main methods:

  1. Percentage of a Number: To find X% of Y, multiply Y by X/100. Example: 25% of 200 = 200 × (25/100) = 50.
  2. Percentage Increase: To increase a number by X%, multiply by (1 + X/100). Example: Increase 200 by 25% = 200 × (1 + 25/100) = 250.
  3. Percentage Decrease: To decrease a number by X%, multiply by (1 - X/100). Example: Decrease 200 by 25% = 200 × (1 - 25/100) = 150.
  4. Percentage Change: To find what percentage X is of Y, divide X by Y and multiply by 100. Example: 50 is what % of 200? (50/200) × 100 = 25%.

The calculator above automates these calculations for quick and accurate results.

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Frequently Asked Questions

What is the basic formula for calculating percentage?

The basic formula is: Percentage = (Part / Whole) × 100. For example, if you have 20 apples out of 100 fruits, the percentage of apples is (20/100) × 100 = 20%.

How do I calculate percentage increase or decrease?

Percentage change = ((New Value - Old Value) / Old Value) × 100. If the result is positive, it's an increase; if negative, it's a decrease. For example, if a price increases from $100 to $120, the percentage increase is ((120-100)/100) × 100 = 20%.

How do I add or subtract a percentage from a number?

To add X% to a number, multiply by (1 + X/100). To subtract X%, multiply by (1 - X/100). For example, to add 15% to 200: 200 × 1.15 = 230. To subtract 15% from 200: 200 × 0.85 = 170.