Percentage Calculator

How shall I use the Percentage Calculator?

The use of the Percentage Calculator is very straightforward: Enter the missing values, then click on the = button. You will see the results of the percentage calculation immediately. PercentageCalc.org helps you to run the three most common percentage calculations quickly and easily.

You can also download our Percentage Calculator in Excel.

What is percentage?

A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%". A percentage is a dimensionless number; it has no unit of measurement. Percentages are often used to express a proportionate part of a total.

You can convert percent to fraction and also to decimal very easily. For example: \(75\%\) = \(75 \over 100 \) = \(0.75\)

How is percentage calculated?

It depends on the subject, more precisely on the thing you would like to calculate. There are several formulas for percentage calculations. The website PercentageCalc.org contains the three most common calculations. You will find their detailed description below. These formulae are:

1. Percentage of a value calculation -> What is P percent of X

2. Percentage calculation -> X is what percent of Y

3. Percentage change calculation -> Find the percentage change from X to Y

1. Percentage of a value calculation

This might be the most common case: You would like to calculate a certain percentage of something. To put it in another way, you would like to know what P per cent of X is. For example, you would like to know what 20 percent of 80 dollars is.

We use the following formula: \(\text{Percentage of a value} = X \cdot P\%\)

The calculation is as follows: \(80\cdot20\%\) = \(80\cdot{20 \over 100}\) = \(80\cdot0.2\) = \(16\).

2. Percentage calculation

In this case you would like to know that X what percent of Y is? For example, you know that you have 20 apples left out of 80 apples. What percent of 80 apples is 20 apples then?

We use the following formula: \(\text{Percentage calculation} = {X \over Y}\)

The calculation is as follows: \({20\over80}\) = \(0.25\) = \(25\%\)

3. Percentage change calculation

Percentage change calculation is used to determine the change between the start value and the end value. This formula also helps you to decide whether you can talk about an increase or a decrease. For example, the price of a product changed from 200 to 300. What percentage change could it mean?

We use the following formula: \(\text{Percentage change}\) = \({(\text{End Value} - \text{Start Value})\over\text{Start Value}}\) \(\cdot 100\%\)

The calculation is as follows: \({(350-200) \over 200} \cdot 100\%\) = \({150 \over 200} \cdot 100\%\) = \(0.75 \cdot 100\%\)= \(75\%\)

The result of this type of calculation can be positive or negative. If the result is positive, it is called percentage increase (just like in our example above). If the result is positive, it is called percentage decrease.

Percentage Calculator Examples: Percentage change calculation