← Percentage Calculators

Percentage Calculator | Exact & Instant Results

Solve any percentage problem in seconds. Pick the tab that matches your question, enter your numbers, and get the answer instantly.

Example: "What is 20% of 350?" — enter 20 and 350 below.

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The Result Is
70

Know the result but not the percentage? Try

Quick Converter

Convert between fractions, decimals, and percentages instantly.

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Type in any field and the others update automatically.

Percentage Formulas

What is P% of N?

Use this for tips, discounts, sales tax, or any "how much is X percent of Y" question.

(Percent ÷ 100) × Number

X out of Y as a percentage

Perfect for test scores, completion rates, and "what portion is this?" questions.

(Part ÷ Whole) × 100

Percentage change between two values

Tracks increase or decrease over time — prices, revenue, weight, anything measurable.

((New − Old) ÷ |Old|) × 100

Find the whole from a part

If you know a number and what percentage it represents, this reveals the full amount.

(Part ÷ Percent) × 100

FAQ

How do I calculate the 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 × 80 = 20. Use the first tab above to do this instantly.
How do I find what percentage one number is of another?
Divide the part by the whole, then multiply by 100. For instance, to find what percentage 16 is of 20: 16 ÷ 20 = 0.8, then 0.8 × 100 = 80%. The "X out of Y" tab handles this.
What is the formula for percentage increase?
Percentage increase = ((New Value − Original Value) ÷ Original Value) × 100. If a price goes from $50 to $65, the increase is ((65 − 50) ÷ 50) × 100 = 30%. A negative result means it decreased instead.
What does "percent" actually mean?
The word comes from the Latin per centum, meaning "by the hundred." So 45% literally means 45 out of 100. It's a standardized way to express a ratio — easier to compare than raw fractions because the denominator is always 100.
Percentage change vs. percentage difference — what's the distinction?
Percentage change measures how much a single value moved over time (old → new), dividing by the original. Percentage difference compares two values that don't have a before/after relationship, dividing by their average. Use change for tracking growth; use difference for comparing two independent things.
Percent vs. percentage point — why does it matter?
A percentage point is the raw numerical gap between two percentages. Going from 40% to 45% is a 5 percentage point increase, but a 12.5% percent increase (because 5 is 12.5% of 40). The two numbers tell very different stories, which is why news reports sometimes use them interchangeably to mislead.
Why does dividing by zero fail?
Division by zero is mathematically undefined. If you try to calculate the percentage change from 0 to any other number, the formula requires dividing by 0 (the original value), which has no meaningful answer. This calculator shows "∞" when that happens.

How to Calculate Percentage

A percentage expresses a number as a fraction of 100. The concept is simple, but in practice people run into trouble because the same word "percentage" covers several different calculations: finding a part of a whole, figuring out what fraction one number is of another, measuring how much something has changed, or working backward from a partial value to the full amount. This calculator handles all four.

Finding a percentage of a number

This is the most common percentage operation. You already know the percentage and the total — you need the result. Divide the percentage by 100 to convert it to a decimal, then multiply by the number. For example, 15% of 200 is 0.15 × 200 = 30. This is the math behind every tip calculation, discount, and tax amount.

Finding what percentage X is of Y

This reverses the direction: you have two numbers and need to know what fraction the first is of the second, expressed as a percentage. Divide the part by the whole and multiply by 100. If you scored 38 out of 50 on a test, that's (38 ÷ 50) × 100 = 76%. The same formula applies to market share, completion rates, or any "how much of the total is this?" question.

Calculating percentage change

Percentage change tells you how much a value grew or shrank relative to where it started. The formula is ((New − Original) ÷ |Original|) × 100. A positive result means increase; a negative result means decrease. This is the standard way to report revenue growth, price changes, population shifts, and anything else tracked over time. Note that the direction matters: going from 100 to 150 is a 50% increase, but going from 150 to 100 is a 33.3% decrease.

Finding the whole from a part and percentage

Sometimes you know a partial value and the percentage it represents, and you need the total. Divide the part by the percentage, then multiply by 100. If 30 represents 15% of a total, the total is (30 ÷ 15) × 100 = 200. This comes up when someone tells you "that's 20% of the budget" and you need to figure out the actual budget.

Percentage Calculators ↗