Basic Percentage Calculations

What is X% of Y?

Result: 100

20% of 500 = 100

X is what % of Y?

Result: 12.5%

25 is 12.5% of 200

X is Y% of what?

Result: 200

50 is 25% of 200

Percentage Increase/Decrease

Increase Value by Percentage

%

New Value: 115

Increase Amount: 15

100 + 15% = 115

Decrease Value by Percentage

%

New Value: 75

Decrease Amount: 25

100 - 25% = 75

Percentage Change

Percentage Change: 50%

Absolute Change: 25

From 50 to 75 is a 50% increase

Discount Calculator

Sale Price

$80.00

You Save

$20.00

Discount

20%

Multiple Discounts

Calculate the final price after applying multiple discounts in sequence.

Final Price: $76.50

Total Discount: $23.50 (23.5%)

First 10% off, then 15% off the reduced price

Tip Calculator

Tip Amount: $7.50
Total Bill: $57.50
Per Person: $28.75

About Percentage Calculations

Percentages are used to express a number as a fraction of 100. They're used in various contexts, from discounts and taxes to statistics and finance.

Basic Percentage Formulas

  • X% of Y: (X / 100) × Y
  • X is what % of Y: (X / Y) × 100
  • X is Y% of what: X / (Y / 100)

Percentage Increase/Decrease

  • Increase by X%: Original × (1 + X/100)
  • Decrease by X%: Original × (1 - X/100)
  • Percentage Change: ((New - Original) / |Original|) × 100

Common Percentage Applications

  • Discounts: Reducing a price by a percentage
  • Tips: Adding a percentage to a bill amount
  • Taxes: Calculating tax amounts based on a percentage
  • Interest: Calculating interest based on a percentage rate