Percentage Decrease Calculator: Measure Relative Decrease

What is Percentage Decrease?

Percentage decrease is a mathematical concept that measures the relative decrease between two values over time or between different scenarios. It expresses the decrease as a percentage of the initial value, allowing for easy comparison of decreases across different scales or contexts.

How to Calculate Percentage Decrease

To calculate percentage decrease:

• Determine the initial value and the final value
• Calculate the difference between the initial and final values
• Divide the difference by the initial value
• Multiply the result by 100 to convert to a percentage

Formula

The formula for percentage decrease is:

\[ \text{Percentage Decrease} = \frac{\text{Initial Value} - \text{Final Value}}{\text{Initial Value}} \times 100\% \]

Calculation Steps

1. Identify the initial value and final value
2. Subtract the final value from the initial value
3. Divide the result by the initial value
4. Multiply by 100 to convert to a percentage

Example

Let's calculate the percentage decrease from an initial value of 100 to a final value of 75

1. Initial value: 100, Final value: 75
2. Difference: 100 - 75 = 25
3. Divide by initial value: 25 / 100 = 0.25
4. Convert to percentage: 0.25 × 100% = 25%
5. Result: The percentage decrease is 25%

Visual representation of 25% decrease from 100 to 75