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How Do You Find the Percentage Increase?

Published in Percentage Calculation 2 mins read

To find the percentage increase, you calculate the change in value relative to the original value, expressed as a percentage. Here's how:

Steps to Calculate Percentage Increase

  1. Calculate the Difference: Subtract the initial (original) value from the final (new) value.

    Difference = Final Value - Initial Value

  2. Divide by the Initial Value: Divide the difference you calculated in step 1 by the initial (original) value.

    Ratio = Difference / Initial Value

  3. Multiply by 100%: Multiply the result from step 2 by 100% to express the change as a percentage.

    Percentage Increase = Ratio * 100%

Formula Summarized

The complete formula for percentage increase is:

Percentage Increase = [(Final Value - Initial Value) / Initial Value] * 100%

Example

Let's say the initial value is 50, and the final value is 75.

  1. Difference: 75 - 50 = 25
  2. Ratio: 25 / 50 = 0.5
  3. Percentage Increase: 0.5 * 100% = 50%

Therefore, the percentage increase is 50%.

Key Considerations

  • A positive percentage indicates an increase.
  • A negative percentage (if the final value is less than the initial value) indicates a percentage decrease.

In summary, finding the percentage increase involves determining the change between two values relative to the original value, expressed as a percentage, using the formula [(Final Value - Initial Value) / Initial Value] * 100%.

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