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Percent Decrease Calculator

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Percent Decrease Calculator

Enter the Initial Value and Final Value to calculate the Percent Decrease, or provide any two fields to find the missing value.

The Percent Decrease Calculator is a practical tool designed to compute the reduction percentage between an initial and a final value. This is particularly useful in finance, retail, and performance analysis, where understanding reductions or savings in percentages is crucial. The tool works seamlessly by allowing users to enter two known values to find the third.

Percent Decrease Formula

Percent Decrease=(Initial ValueFinal ValueInitial Value)×100\text{Percent Decrease} = \left( \frac{\text{Initial Value} – \text{Final Value}}{\text{Initial Value}} \right) \times 100

Alternative Formulas

  1. Initial Value
Initial Value=Final Value1(Percent Decrease100)\text{Initial Value} = \frac{\text{Final Value}}{1 – \left(\frac{\text{Percent Decrease}}{100}\right)}
  1. Final Value
Final Value=Initial Value(Initial Value×Percent Decrease100)\text{Final Value} = \text{Initial Value} – \left(\text{Initial Value} \times \frac{\text{Percent Decrease}}{100}\right)
Variable Description Example Unit
Initial Value ($) The starting value before the decrease Dollars ($)
Final Value ($) The value after the decrease Dollars ($)
Percent Decrease (%) The percentage reduction between the values Percentage (%)

Solved Calculations

Example 1:

Input Parameters Value
Initial Value ($) 200
Final Value ($) 150
Percent Decrease 200150200×100=25%\frac{200 – 150}{200} \times 100 

Example 2:

Input Parameters Value
Initial Value ($) 400
Percent Decrease 20%
Final Value ($) 400(400×0.20)=320400 – (400 \times 0.20) 
 

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