RPD Calculator

This Percentage Difference Calculator helps you quickly find the relative percentage difference (RPD) between two values. It's an essential tool for students, researchers, analysts, and professionals who need to measure variations, track changes, or compare results with precision.

What is Percentage Difference?

Percentage difference is a way to measure how much two numbers differ relative to their average. It provides a standardized way to express the size of a difference in percentage terms, making comparisons easier and more meaningful across different contexts.

It's commonly used in:

• Scientific experiments
• Business performance tracking
• Financial data analysis
• Academic research

Formula for Percentage Difference

The standard formula for calculating the percentage difference between two numbers 𝐴 and 𝐵 is:

Where:

• $$|A - B|$$ represents the absolute difference (ensuring the result is always positive),
• $$\frac{A+B}{2}$$ is the average of the two values.

This ensures the difference is expressed relative to the size of the values being compared.

Calculating Percentage Difference

Suppose you want to find the percentage difference between the numbers 80 and 100.

Using the formula:

Step-by-step:

1. Find the absolute difference between the two values:

$$|A - B| = |80 - 100| = |-20| = 20$$

2. Find the average of the two values:

$$\Large{\frac{A+B}{2} = \frac{80 + 100}{2} = \frac{180}{2}} $$ $$ = 90$$

3. Divide the difference by the average:

$$\frac{\small{|A - B|}}{ \large{\frac{A + B}{2}}} = \Large{\frac{20}{90}} $$ $$= 0.2222$$

4. Multiply by 100 to get the percentage:

$$0.2222 \times 100 = 22.22\%$$

Therefore, The percentage difference between 80 and 100 is 22.22%