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Percentage Calculator

Four everyday percentage questions, each with the formula shown: what is X% of Y, X is what percent of Y, the percentage change between two numbers, and a value increased or decreased by a percentage.

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How to use the percentage calculator

  1. Pick the card that matches your question.
  2. Enter the numbers. Results update as you type, with the formula underneath.
  3. Use the copy button to grab the result.

Features

  • Percent of a number (discounts, tax, tips)
  • One number as a percentage of another (scores, shares, conversion rates)
  • Percentage increase or decrease between two values
  • Apply a percentage to a value in either direction
  • Every result shows the exact formula used

The formulas

Percent means “per hundred”, so every calculation is a variation on dividing or multiplying by 100:

  • X% of Y = Y × X ÷ 100. Example: 15% of 200 = 30.
  • X as a percent of Y = X ÷ Y × 100. Example: 30 is 15% of 200.
  • Change from A to B = (B − A) ÷ |A| × 100. Example: 200 → 250 is a 25% increase; 250 → 200 is a 20% decrease.
  • Y increased by X% = Y × (1 + X ÷ 100); decreased by X% = Y × (1 − X ÷ 100).

Percentage points versus percent

If an interest rate rises from 5% to 7%, it has risen by 2 percentage points but by 40 percent (2 ÷ 5 × 100). News reports mix these up constantly. The percentage change card gives the second figure; subtract the two rates yourself for the first.

Frequently asked questions

Why does the tool say “undefined” for some inputs?

Dividing by zero has no answer. “X is what percent of 0?” and “change from 0” are undefined; enter a non-zero base value.

How do I reverse a percentage, for example find the price before 18% GST?

Divide by (1 + rate): a ₹1,180 price including 18% GST was ₹1,000 before tax. The GST Calculator does this directly with the inclusive mode.

How many decimals are shown?

Up to four, rounded half up. Copy the value if you need to paste it elsewhere.

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