Percentage Calculator

Calculate percentages quickly and easily. Find X% of Y, calculate what percentage one number is of another, or determine the percentage change between two values.

What is X% of Y?
%
of
X is what percentage of Y?
is what % of
Percentage Change from X to Y
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How to Use This Calculator
Mode 1: What is X% of Y?

Use this when you need to find a percentage of a number. For example:

  • Calculate 20% VAT on a £50 purchase → 20% of 50 = £10
  • Find a 15% tip on a £35 bill → 15% of 35 = £5.25
  • Calculate 25% discount on a £80 item → 25% of 80 = £20 off
Mode 2: X is what % of Y?

Use this when you have two numbers and want to know what percentage one is of the other. For example:

  • You scored 45 out of 60 on a test → 45 is 75% of 60
  • You saved £150 from a £600 salary → 150 is 25% of 600
  • Your £8,000 deposit on a £200,000 house → 8,000 is 4% of 200,000
Mode 3: Percentage Change

Use this to calculate the percentage increase or decrease between two values. For example:

  • Price increased from £50 to £60 → 20% increase
  • Weight decreased from 80kg to 72kg → 10% decrease
  • Salary changed from £30,000 to £33,000 → 10% increase
Frequently Asked Questions

To find what percentage X is of Y, divide X by Y and multiply by 100. For example, to find what percentage 25 is of 200: (25 ÷ 200) × 100 = 12.5%. This tells you that 25 is 12.5% of 200.

To calculate X% of Y, multiply Y by X and divide by 100. For example, to find 15% of 80: (80 × 15) ÷ 100 = 12. So 15% of 80 is 12.

To calculate percentage change, subtract the original value from the new value, divide by the original value, and multiply by 100. Formula: ((New - Original) ÷ Original) × 100. A positive result indicates an increase, while a negative result indicates a decrease.

Percentage refers to a proportion out of 100, while percentage points measure the arithmetic difference between two percentages. For example, if interest rates rise from 2% to 5%, that is a 3 percentage point increase, but a 150% percentage increase.

To find the original number before a percentage was applied, divide the result by (1 + percentage/100) for increases, or (1 - percentage/100) for decreases. For example, if a price after 20% VAT is £120, the original price was £120 ÷ 1.20 = £100.
Percentage Formulas
X% of Y

Result = (Y × X) ÷ 100

X is what % of Y

Percentage = (X ÷ Y) × 100

Percentage Change

Change = ((New - Original) ÷ Original) × 100

Common UK Percentages

VAT Standard Rate: 20%

VAT Reduced Rate: 5%

Basic Tax Rate: 20%

Higher Tax Rate: 40%

Service Charge (typical): 10-15%

Deposit (typical): 5-20%

Quick Conversions
% Decimal Fraction
10%0.11/10
20%0.21/5
25%0.251/4
33.33%0.3331/3
50%0.51/2
75%0.753/4
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