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Percentage Calculator
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โšก Common Calculations โ€” click to use

How to Calculate a Percentage

A percentage is a way of expressing a number as a fraction of 100. The word "percent" literally means "per hundred." There are four common percentage calculations โ€” all handled by this calculator.

What is X% of a number?
Result = (Percentage รท 100) ร— Number
Example: What is 20% of 150? โ†’ (20 รท 100) ร— 150 = 30
X is what % of Y?
Percentage = (X รท Y) ร— 100
Example: 30 is what % of 150? โ†’ (30 รท 150) ร— 100 = 20%
Percentage increase
Increase % = ((New โˆ’ Original) รท Original) ร— 100
Example: 80 โ†’ 100: ((100 โˆ’ 80) รท 80) ร— 100 = 25% increase
Percentage decrease
Decrease % = ((Original โˆ’ New) รท Original) ร— 100
Example: 100 โ†’ 75: ((100 โˆ’ 75) รท 100) ร— 100 = 25% decrease

Common Percentage Reference Table

Here are the most frequently needed percentage calculations for quick reference:

PercentageOf 100Of 200Of 500Of 1,000
5%5102550
10%102050100
15%153075150
20%2040100200
25%2550125250
50%50100250500
75%75150375750

Everyday Uses for Percentage Calculations

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Shopping Discounts
Work out how much you save on a 20% off sale or compare discounts across stores.
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Business & Finance
Calculate profit margins, tax rates, interest and percentage changes in revenue.
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Exams & Grades
Convert test scores to percentages โ€” 45 out of 60 is 75%.
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Property & Loans
Calculate mortgage deposit percentages, interest rates and loan-to-value ratios.
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Investment Returns
Work out the percentage gain or loss on investments and compare performance.
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Tips & Service
Calculate a 10%, 15% or 20% tip on a restaurant bill quickly.

Quick Mental Percentage Tricks

These shortcuts make percentage calculations faster without a calculator:

  • 10% of any number โ€” move the decimal point one place to the left. 10% of 340 = 34
  • 5% of any number โ€” find 10% and halve it. 5% of 340 = 17
  • 20% of any number โ€” find 10% and double it. 20% of 340 = 68
  • 25% of any number โ€” divide by 4. 25% of 340 = 85
  • 50% of any number โ€” divide by 2. 50% of 340 = 170
  • Reverse percentages โ€” X% of Y = Y% of X. So 8% of 25 = 25% of 8 = 2

FAQs

Divide the part by the whole and multiply by 100. For example, 45 out of 60 is (45 รท 60) ร— 100 = 75%.

Subtract the original value from the new value, divide by the original, then multiply by 100. For example, 80 to 100 is ((100 โˆ’ 80) รท 80) ร— 100 = 25% increase.

Divide the number by 5. For example, 20% of 150 = 150 รท 5 = 30. Or use the calculator above for any amount instantly.

Divide the first number by the second and multiply by 100. For example, 30 is what percentage of 150? (30 รท 150) ร— 100 = 20%.

A percentage increase measures how much a value has grown relative to the original. A percentage decrease measures how much it has fallen. Both use the original value as the reference point.

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