What is Percent Decrease Over Time?
Percent Decrease Over Time measures how quickly a value is declining on average. By dividing the total percentage decrease by the time period, you get the average rate of decrease per time unit. This is useful for understanding trends in prices, populations, performance metrics, and more.
How to Calculate Percent Decrease Over Time
The formula for calculating percent decrease over time is:
[\text{Percent Decrease Rate} = \frac{\text{Total Percentage Decrease}}{\text{Total Time}}]
Where:
- Percent Decrease Rate is the average decrease per unit time
- Total Percentage Decrease is the cumulative decrease over the period
- Total Time is the duration of the observation period
Calculation Example
Suppose a stock's value decreased by 15% over 5 months.
Step 1: Identify the values:
- Total Percentage Decrease: 15%
- Total Time: 5 months
Step 2: Apply the formula:
[\text{Percent Decrease Rate} = \frac{15}{5}]
Step 3: Calculate:
[\text{Percent Decrease Rate} = 3% \text{ per month}]
The stock is decreasing at an average rate of 3% per month.
Applications
| Scenario | Total Decrease | Time | Rate |
|---|---|---|---|
| Asset depreciation | 20% | 4 years | 5%/year |
| Population decline | 6% | 12 months | 0.5%/month |
| Sales decline | 30% | 6 quarters | 5%/quarter |
| Temperature drop | 10% | 5 hours | 2%/hour |