Percentage Calculator

Understanding Percentage Calculation

A percentage is a way of expressing a number as a fraction of 100. It is denoted using the symbol %. The word “percent” comes from the Latin phrase per centum, which means “by the hundred.”

Basic Formula for Percentage Calculation

Percentage = (Part / Whole) × 100

Common Percentage Calculations

1. Finding the Percentage of a Number

If you want to find X% of Y, use this formula:

(X / 100) × Y

Example: What is 20% of 150?

(20 / 100) × 150 = 30

Answer: 30

2. Finding What Percentage One Number is of Another

If you want to find what percentage A is of B, use:

(A / B) × 100

Example: What percentage is 50 out of 200?

(50 / 200) × 100 = 25%

Answer: 25%

3. Finding the Whole When Given a Part and a Percentage

If X% of a number is Y, to find the whole number:

Whole = (Y × 100) / X

Example: If 30 is 20% of a number, what is the number?

(30 × 100) / 20 = 150

Answer: 150

Real-Life Applications of Percentages

Finance: Calculating discounts, interest rates, and taxes.
Health & Fitness: Determining body fat percentage or nutritional values.
Real Estate: Calculating agent commissions and property appreciation.
Education: Analyzing test scores and grade distributions.