Percentage calculator
What is X% of a number?
X is what percentage of Y?
By what percentage did the value change?
Add or subtract a percentage from a number
What number after a change by X% gives the result Y?
How to calculate percentages? Below we provide formulas for percentage operations.
Percent means one hundredth part of a given value. For example, 10% means 10 out of 100. Percentage calculations are often used in finance, statistics, trade, and data analysis.
How to calculate X% of a number?
To calculate a percentage of a number, multiply the value by the percentage and divide by 100.
result = number × percentage ÷ 100
Example: 15% of 200 is 30 because 200 × 15 ÷ 100 = 30.
How to calculate what percentage a number represents?
To check what percentage of one number another is, divide the first by the second and multiply by 100.
percentage = (part ÷ whole) × 100
Example: 30 of 200 is 15%.
How to calculate percentage change?
Percentage change shows by what percentage a value has increased or decreased.
change = (new − old) ÷ old × 100
Example: an increase from 100 to 150 means a 50% increase.
Where are percentages used?
Percentages are commonly used in many areas of life and business.
- calculating discounts and promotions
- analysis of price increases and decreases
- statistics and data analysis
- finance and investments
- taxes and VAT
Most common percentage calculations
In everyday situations, percentages appear very often — when calculating discounts, taxes, salary increases, or price changes. Below you will find the most popular types of percentage calculations along with examples.
How much is X% of a number?
This is the simplest and most common type of percentage calculation.
result = number × percentage / 100
Example: how much is 20% of 150?
150 × 20 / 100 = 30
By what percentage did the value increase or decrease?
This type of calculation is used to compare changes in value — e.g., product price, salary, or number of users.
percentage change = (new value − old value) / old value × 100
Example: price increased from 200 PLN to 250 PLN.
(250 − 200) / 200 × 100 = 25%%
How to calculate a percentage discount?
A percentage discount means reducing the price by a specific percentage.
price after discount = price × (1 − percentage / 100)
Example: product costs 120 PLN, discount is 15%.
120 × (1 − 0.15) = 102 zł
How to calculate VAT from a price?
VAT tax is one of the most frequently calculated percentages in business and accounting.
VAT = net price × VAT rate / 100
Example: net price 100 PLN, VAT 23%.
100 × 23 / 100 = 23 zł VAT