# Percentage Calculator – Ultimate Guide to Percentages

Use this percentage calculator to solve one of the problems below.

Select a Percentage Problem to Solve:

%

%

%

%

%
%

P% of X = ?

## How to Calculate Percentage

A percentage is the proportion of a part to the whole amount or the portion of a value. It can be expressed as a fraction/decimal or as a whole number with a percent symbol.

To solve the percentage between two values or one of the values themselves, use the percentage formula:

y = x × p100

Simply put, the value y is equal to value x multiplied by the percentage p, divided by 100.

By rewriting this formula, it’s possible to solve any of the values if the other two are known.

For example: let’s solve 75% of 60.

y = x × p100
y = 60 × 75100
y = 4500100
y = 45

## How to Calculate Percent of Change

To find the amount of change between two numbers expressed as a percent, use the percent change formula:

p = y – x|x| × 100

Thus, the percent of change p is equal to the final value y minus the initial value x, divided by the absolute value of the initial value x, times 100;

You can also easily find the amount of change from one value to another with our percent change calculator.

## How to Calculate Percent Increase or Decrease

When increasing by a percentage, find the result using the percent increase formula:

y = x + (x × p100)

So when increasing the value x by percentage p, the result will be x plus x times the percent p, divided by 100.

When decreasing by a percentage, find the result using the percent decrease formula:

y = x – (x × p100)

So when decreasing the value x by percentage p, the result will be x minus x times the percent p, divided by 100.

Our percent increase and percent decrease calculators make it easy to solve these equations.

## How to Convert Percentage to a Decimal

Percentages are often represented as a whole number with the “%” symbol after it, but they can also be expressed as a decimal. Since percent means “per 100,” the decimal conversion is just a division by 100.

See the percentage to decimal conversion formula:

decimal = percentage100

For convenience, we also have a percent to decimal conversion calculator.