ConvertOnlinePercentage 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.