How Percentages Work

Percentages are one of the most widely used mathematical concepts in everyday life — from shopping discounts to tax rates, grade calculations, and financial returns. Understanding how to work with percentages confidently is an essential everyday skill.

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Formula

$$Percentage = \frac{Part}{Whole} \times 100$$

Percentage Calculator

Calculate what percentage X is of Y, or find X% of any value.

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Worked Example

Given:

Part (X) = 45Total (Y) = 200

Result45 is 22.5% of 200. Also: 45% of 200 = 90

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FAQs

How do I calculate a percentage increase?

Subtract the original value from the new value, divide by the original value, then multiply by 100. For example: price goes from $80 to $100 — increase = (100 - 80) / 80 × 100 = 25%.

How do I find X% of a number?

Multiply the number by the percentage divided by 100. For example, 15% of 200 = 200 × (15/100) = 30. Or simply: 200 × 0.15 = 30.

What is the difference between percentage and percentage points?

Percentage is relative; percentage points are absolute. If an interest rate rises from 2% to 5%, it increased by 3 percentage points but by 150% as a relative change. This distinction matters in finance and economics.