# Percentage Calculator – Ultimate Guide to Percentages

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

**Select a Percentage Problem to Solve:**

## Result:

## On this page:

## 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 × p / 100

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 × p / 100

y = 60 × 75 / 100

y = 4500 / 100

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 × p / 100)

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 × p / 100)

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 = percentage / 100

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