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What Is a Percentage?

A percentage is a way of expressing a number as a fraction of 100. The word comes from the Latin per centum, meaning β€œby the hundred.” Percentages are used everywhere in daily life β€” from calculating tips and discounts to understanding interest rates, test scores, and statistical data.

The basic formula is: Percentage = (Part Γ· Whole) Γ— 100. For example, if you scored 45 out of 60 on a test, your percentage is (45 Γ· 60) Γ— 100 = 75%. Conversely, to find a percentage of a number, divide the percentage by 100 and multiply: 20% of 150 = 0.20 Γ— 150 = 30.

Understanding percentages helps you make better financial decisions β€” comparing loan interest rates, evaluating investment returns, calculating sales tax, or determining how much to tip. In business, percentages are essential for analyzing growth rates, profit margins, and market share. In academics, they standardize scores across different grading scales.

Whether you’re splitting a restaurant bill, figuring out a discount, checking your test score, or analyzing business metrics, our calculator gives you the answer instantly with step-by-step explanations so you understand the math behind it. Learn more about percentage formulas β†’

Frequently Asked Questions

How do I calculate a percentage of a number?
Divide the percentage by 100, then multiply by the number. For example, 25% of 80: divide 25 by 100 to get 0.25, then multiply 0.25 Γ— 80 = 20.
What is the difference between percentage change and percentage difference?
Percentage change measures the change from one value to another and is directional (increase or decrease). Percentage difference compares two values symmetrically without implying which came first.
How do I find what percentage one number is of another?
Divide the part by the whole, then multiply by 100. For example, 30 is what percent of 200? 30 Γ· 200 = 0.15, then 0.15 Γ— 100 = 15%.
Can percentages be greater than 100%?
Yes. A percentage over 100% means the part is larger than the whole. For example, if you earned $120 against a $100 goal, that’s 120% of your target.
What’s the easiest way to calculate a tip?
For a 15% tip, find 10% by moving the decimal point left one place, then add half of that. For a $48 bill: 10% = $4.80, half = $2.40, so the tip is $7.20.
Is this calculator free to use?
Yes, completely free with no sign-up required. All calculations are instant and include step-by-step explanations so you can learn the math behind the answer.