What is percentage?

A percentage represents one hundredth part of a quantity or number:

One percent (1%) is equivalent to one hundredth part of a value, while the entirety of the value, or the whole, equates to 100%:

How to seamlessly convert fractions into percentages

To convert a common fraction into a percentage, simplification to a denominator of 100 is crucial. This process ensures clarity and accuracy in representing fractions as percentages.

Percentage formula

Though the percentage formula can be expressed in various ways, it is fundamentally an algebraic equation that involves three variables.

P represents the percentage, V1 is the initial value that the percentage will alter, and V2 is the outcome after applying the percentage to V1. The calculator automatically converts the entered percentage into its decimal form to calculate the result. However, when determining the percentage, the returned value will be the actual percentage, not its decimal form.

When solving manually, the formula requires the percentage to be in decimal form, so the result for P must be multiplied by 100 to convert it into a percentage. This is exactly what the calculator does, but it allows you to input values as percentages rather than decimals.

Percentage difference formula

To calculate the percentage difference between two values, divide the absolute difference between the two numbers by their average. Then, multiply the result by 100 to express it as a percentage instead of a decimal. See the equation below for further clarification.

Percentage change formula

Percentage increase or decrease is determined by finding the difference between two values and comparing that difference to the original value. This is done by taking the absolute difference between the two values, dividing it by the initial value, and calculating how much the original value has changed.

The percentage increase calculator calculates the increase or decrease by a specific percentage of the input value. This process involves converting the percentage into its decimal form, then either adding (for an increase) or subtracting (for a decrease) the decimal from 1. By multiplying the original number by this result, you'll get the adjusted value, reflecting the percentage change. See the example below for further explanation.