# Percentage Difference Calculator

(First Value)

(Second Value)

## How to use this Percentage Difference Calculator 🤔

- Enter ✎ value for First Value (X).
- Enter ✎ value for Second Value (Y).
- As soon as you enter the required input value(s), the Percentage Difference is calculated immediately, and displaed in the output section (present under input section).

## Calculating Percentage Difference

Percentage difference is a useful calculation that measures the relative difference between two values, expressed as a percentage. This calculation is commonly used in various fields, such as finance, science, and statistics, to compare the difference between two values in a meaningful way.

The formula to calculate the percentage difference is expressed as:

\( \text{Percentage Difference} = 100 \times \dfrac{| X - Y |}{ \dfrac{ X + Y }{2} } \)

where:

**X**represents the first value.**Y**represents the second value.

By finding the absolute difference between the two values, dividing by their average, and then multiplying by 100, you obtain the percentage difference.

## Examples

The following examples demonstrate how to calculate the percentage difference between two values using the given formula.

### 1. The price of two smartphones is $800 and $1,000. What is the percentage difference between their prices?

#### Answer

Given:

**X**= $800 (Price of the first smartphone)**Y**= $1,000 (Price of the second smartphone)

The formula to calculate the percentage difference is:

\( \text{Percentage Difference} = 100 \times \dfrac{| X - Y |}{ \dfrac{ X + Y }{2} } \)

Substituting the given values into the formula:

\( \text{Percentage Difference} = 100 \times \dfrac{| 800 - 1000 |}{ \dfrac{ 800 + 1000 }{2} } \)

Calculate the absolute difference between the two values and their average:

\( \text{Percentage Difference} = 100 \times \dfrac{200}{900} \)

Simplifying further:

\( \text{Percentage Difference} = 100 \times 0.222 = 22.2\% \)

Therefore, the percentage difference between the prices of the two smartphones is 22.2%.

### 2. The speed of two cars is 60 mph and 80 mph. What is the percentage difference between their speeds?

#### Answer

Given:

**X**= 60 mph (Speed of the first car)**Y**= 80 mph (Speed of the second car)

The formula to calculate the percentage difference is:

\( \text{Percentage Difference} = 100 \times \dfrac{| X - Y |}{ \dfrac{ X + Y }{2} } \)

Substituting the given values into the formula:

\( \text{Percentage Difference} = 100 \times \dfrac{| 60 - 80 |}{ \dfrac{ 60 + 80 }{2} } \)

Calculate the absolute difference between the two values and their average:

\( \text{Percentage Difference} = 100 \times \dfrac{20}{70} \)

Simplifying further:

\( \text{Percentage Difference} = 100 \times 0.286 = 28.6\% \)

Therefore, the percentage difference between the speeds of the two cars is 28.6%.

### 3. The attendance at two concerts was 15,000 and 20,000 people, respectively. What is the percentage difference in attendance between the two concerts?

#### Answer

Given:

**X**= 15,000 people (Attendance at the first concert)**Y**= 20,000 people (Attendance at the second concert)

The formula to calculate the percentage difference is:

\( \text{Percentage Difference} = 100 \times \dfrac{| X - Y |}{ \dfrac{ X + Y }{2} } \)

Substituting the given values into the formula:

\( \text{Percentage Difference} = 100 \times \dfrac{| 15000 - 20000 |}{ \dfrac{ 15000 + 20000 }{2} } \)

Calculate the absolute difference between the two values and their average:

\( \text{Percentage Difference} = 100 \times \dfrac{5000}{17500} \)

Simplifying further:

\( \text{Percentage Difference} = 100 \times 0.286 = 28.6\% \)

Therefore, the percentage difference in attendance between the two concerts is 28.6%.

### 4. Two employees receive monthly salaries of $4,500 and $5,500. What is the percentage difference between their salaries?

#### Answer

Given:

**X**= $4,500 (Salary of the first employee)**Y**= $5,500 (Salary of the second employee)

The formula to calculate the percentage difference is:

\( \text{Percentage Difference} = 100 \times \dfrac{| X - Y |}{ \dfrac{ X + Y }{2} } \)

Substituting the given values into the formula:

\( \text{Percentage Difference} = 100 \times \dfrac{| 4500 - 5500 |}{ \dfrac{ 4500 + 5500 }{2} } \)

Calculate the absolute difference between the two values and their average:

\( \text{Percentage Difference} = 100 \times \dfrac{1000}{5000} \)

Simplifying further:

\( \text{Percentage Difference} = 100 \times 0.2 = 20\% \)

Therefore, the percentage difference between the salaries of the two employees is 20%.

## Formula

To calculate the percentage difference, you can use the following formula.

where

## Calculation

Once you enter the input values in the calculator, the output parameters are calculated.