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Percentage Calculator

The percentage questions people actually ask, each with its own calculator: a percent of a number, what percent one number is of another, the change between two values, discounts and marks.

What is X% of Y?

What is % of ?

450

X is what percent of Y?

is what % of ?

75%

Percentage change

From to

+25%

Increase

Increase or decrease by a percentage

by %

55,000

Discount

Price ₹ with % off

Pay ₹1,399.3

You save ₹599.7

Marks percentage

out of

87.6%

Percentage formulas

  • X% of Y = Y × X ÷ 100
  • X as a % of Y = X ÷ Y × 100
  • % change = (new − old) ÷ old × 100
  • Increase Y by X% = Y × (1 + X ÷ 100), and decrease = Y × (1 − X ÷ 100)

Percent vs percentage points

If an interest rate goes from 8% to 9%, it rose by 1 percentage point, but by 12.5% in relative terms (1 ÷ 8). News reports and bank notices mix these up often, so it's worth checking which one is meant.

Frequently Asked Questions

How do I calculate a percentage of a number?

Multiply the number by the percentage and divide by 100. For example, 18% of 2,500 is 2,500 × 18 ÷ 100 = 450.

How do I calculate percentage change?

Subtract the old value from the new value, divide by the old value, and multiply by 100. Going from 80 to 100 is (100 − 80) ÷ 80 × 100 = 25% increase. Note that going back from 100 to 80 is a 20% decrease, not 25%.

How do I calculate my marks percentage?

Divide the marks you obtained by the total marks and multiply by 100. 438 out of 500 is 87.6%. If your board uses CGPA, check its official conversion formula, as it differs between boards and universities.

Is a 10% increase followed by a 10% decrease the same as no change?

No. ₹100 increased by 10% is ₹110, and 10% off ₹110 is ₹99. Each percentage applies to a different base, which is why successive changes don't simply cancel out.

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