Percentage
2026-02-28 14:07 Diff
https://brightchamps.com/en-us/math/commercial-math/percentage

Percentage difference tells us how much a value has changed compared to another value, expressed as a percentage. To find the percentage difference between two numbers, follow these steps:
 

Step 1: Find the difference between the two values (subtract them and ignore any negative sign).

Step 2: Find the average of the two values (add them and divide by 2).

Step 3: Divide the difference by the average.

Step 4: Convert the result into a percentage by multiplying it by 100.

\(\ \text{Percentage Difference} = \left| \frac{\text{First Value} - \text{Second Value}}{\frac{\text{First Value} + \text{Second Value}}{2}} \right| \times 100\% \ \)

Percentage Increase and Decrease Formula

When working with percentage difference, we usually come across two situations:
 

  • Percentage increase
  • Percentage decrease


Here, subtract the original value from the new value, then divide that result by the original value. Finally, multiply by 100 to convert it into a percentage.
 

\(\ \text{Percentage Increase} = \frac{\text{Rise in the Number}}{\text{Original Number}} \times 100\% \ \)

Increase in value = New number - Original number

Similarly, to find the percentage decrease, subtract the new number from the original number. Then divide that result by the original value, and multiply by 100 to express it as a percentage.

\(\ \text{Percentage Decrease} = \frac{\text{Decrease in the Number}}{\text{Original Number}} \times 100\% \ \)

Decrease in value = Original number - New number

Remember, if the new value is higher than the original value, it represents a percentage increase. If the new value is lower, it represents a percentage decrease.