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Percentage Calculator
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Calculate percentages, percentage changes, increases, and decreases with six live calculators that show the formula for each result.
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Percentage Calculator
Need to work out a percentage? This percentage calculator handles six common percentage calculations in one place.
Find a percentage of a number, work out what percent one number is of another, find the whole when you know a part and its percentage, or calculate the percentage change between two values. You can also increase or decrease a value by a given percentage.
Results update as you type, and each calculation shows its formula so you can see how the result was obtained.
Quick guide
How to use
- Choose the calculation that matches your question.
- Enter the required values; the result and formula update as you type.
- Use the Copy button beside a result to copy it, or Reset to clear all rows.
Details
About this tool
Percentage Calculator
Percentages compare values, describe changes, and express a part of a whole. The calculation you need depends on the information you already have. Finding 20% of 150, for example, is different from asking what percent 30 is of 150. The six calculators below let you enter the values you know and get the corresponding result. Results update as you type, each one shows its formula, and you can copy it individually.
Calculate a percentage of a number
Use this when you know the percentage and number and want the amount. For example, 20% of 150 = 30, because (20 ÷ 100) × 150 = 30. This is useful for discounts, portions, commissions, tax amounts, tips, and other parts of a known value.
Formula: percentage of a number = (percentage ÷ 100) × number
Find what percent one number is of another
When you know a part and a whole, divide the part by the whole and multiply by 100. For example, 30 is (30 ÷ 150) × 100 = 20% of 150. This is useful for scores, completion rates, proportions, and comparisons. The whole must not be zero.
Formula: percentage = (part ÷ whole) × 100
Find the whole from a percentage
Work backwards when you know the part and its percentage. If 30 is 20% of a number, that whole is 30 ÷ (20 ÷ 100) = 150.
Formula: whole = part ÷ (percentage ÷ 100)
Calculate percentage change
Compare a starting value with a new value to see how much it changed relative to the start. A change from 100 to 120 is (120 − 100) ÷ 100 × 100 = 20%, an increase. A change from 100 to 80 is −20%, a decrease. The starting value must not be zero.
Formula: percentage change = ((new value − starting value) ÷ starting value) × 100
Increase or decrease a value by a percentage
To increase 200 by 15%, calculate 200 × (1 + 15 ÷ 100) = 230. To decrease 200 by 15%, calculate 200 × (1 − 15 ÷ 100) = 170. These calculations are useful for price changes, discounts, reductions, allowances, and quantities.
Increase formula: original value × (1 + percentage ÷ 100)
Decrease formula: original value × (1 − percentage ÷ 100)
How to use the Percentage Calculator
- Choose the calculator that matches your question.
- Enter the required values.
- Review the result and displayed formula as they update.
- Use Copy to copy an individual result, or Reset to clear all calculations.
Understanding percentages
A percentage expresses a value relative to 100: 50% means 50 out of 100, 25% means 25 out of 100, and 10% means 10 out of 100. The same percentage represents different amounts when applied to different numbers: 10% of 100 is 10, while 10% of 500 is 50. The reference value matters.
Percentage change and percentage increase
Percentage change compares a starting value with a new value. Increasing a value by a percentage applies a specified increase to that value. For example, a change from 100 to 120 is a 20% increase, and increasing 100 by 20% gives 120. They can produce the same numbers while answering different questions.
Percentage decrease and percentage change
If a value changes from 100 to 80, the change is a 20% decrease. Decreasing 100 by 20% also gives 80. Choose the calculation that matches whether you are comparing two values or applying a known rate.
When is a percentage calculator useful?
Use percentage calculations to work out discounts and price changes, compare scores with a possible total, measure business changes in revenue or quantities, express one number as a share of another, or find an original whole from a known part.
Errors and zero values
Some calculations divide by a reference or starting value, which must be nonzero. If you see an error, check the base value for the selected calculation.
Copy and reset
Each result has its own Copy button. Reset clears all inputs and results so you can start again.
Six percentage calculations
Formulas shown with each result
Live results
Copy and reset
Percentage Calculator Examples
Percentage of a number
20% of 150
30
What percent is one number of another?
30 is what percent of 150?
20%
Find the whole
30 is 20% of what number?
150
Percentage change
From 100 to 120
20% increase
Increase by a percentage
Increase 200 by 15%
230
Decrease by a percentage
Decrease 200 by 15%
170
Help
Frequently asked questions
What is a percentage calculator?
It solves common percentage problems, including finding a percentage of a number, comparing numbers as a percentage, finding the original whole, and calculating percentage change.
How do I calculate a percentage of a number?
Divide the percentage by 100 and multiply by the number. For example, 20% of 150 is (20 ÷ 100) × 150 = 30.
How do I find what percent one number is of another?
Divide the first number by the second and multiply by 100. For example, (30 ÷ 150) × 100 = 20%.
How do I find the whole when I know the percentage?
Divide the known part by the percentage as a decimal. If 30 is 20% of a number, 30 ÷ 0.20 = 150.
How is percentage change calculated?
Subtract the starting value from the new value, divide by the starting value, and multiply by 100. The starting value must be nonzero.
How do I increase a number by a percentage?
Multiply the original value by 1 plus the percentage divided by 100. Increasing 200 by 15% gives 200 × 1.15 = 230.
How do I decrease a number by a percentage?
Multiply the original value by 1 minus the percentage divided by 100. Decreasing 200 by 15% gives 200 × 0.85 = 170.
Why do I get an error when I enter zero?
Some calculations divide by a base value, so zero cannot be used as that reference.
Can I copy a calculation result?
Yes. Each calculation has its own Copy button.
Can I reset all calculations?
Yes. Reset clears the inputs and results in every row.