Percentage Change Calculator – Calculate Increase, Decrease, Initial & Final Value

Percentage Change
 
V1 = 100 V2 = 150 +50%

This calculator is a versatile tool for determining percentage changes between two values. It allows you to find the percentage increase or decrease, calculate the final value after a percentage change, or find the original value before a percentage change occurred.

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Formulas Used

The calculator uses the following standard formulas, where V1 is the initial value and V2 is the final value:

Percentage Change (%) = ((V2 - V1) / |V1|) × 100
Final Value (V2) = V1 × (1 + (Percentage / 100))
Initial Value (V1) = V2 / (1 + (Percentage / 100))

Practical Examples

Here are several examples of how this calculator can be used in various scenarios:

  • Stock Price Increase: A stock was purchased for $150 and is now valued at $180.
    Enter Initial Value = 150 and Final Value = 180. The result is a 20% increase.
  • Retail Discount: An item originally priced at $60 is on sale for $45.
    Enter Initial Value = 60 and Final Value = 45. The result is a 25% decrease (a 25% discount).
  • Population Growth: A town's population grew by 8% from its initial count of 12,000.
    Select "Calculate Final Value", enter Initial Value = 12000 and Percentage = 8. The new population is 12,960.
  • Weight Loss: Someone's weight decreased by 15% to a current weight of 170 lbs. What was their original weight?
    Select "Calculate Initial Value", enter Final Value = 170 and Percentage = -15. Their initial weight was approximately 200 lbs.
  • Web Traffic Change: A website's daily visitors went from 5,200 to 4,160.
    Enter Initial Value = 5200 and Final Value = 4160. The result is a 20% decrease in traffic.
  • Finding an Original Price: After a 20% price increase, a product now costs $300. What was the price before the increase?
    Select "Calculate Initial Value", enter Final Value = 300 and Percentage = 20. The original price was $250.
  • Salary Calculation: An employee receives a 5.5% raise on their $70,000 salary.
    Select "Calculate Final Value", enter Initial Value = 70000 and Percentage = 5.5. Their new salary is $73,850.
  • Investment Loss: An investment of $2,500 is now worth $2,125 after a market downturn.
    Enter Initial Value = 2500 and Final Value = 2125. The result is a 15% decrease.