Calculate initial or final rates from percentage change, including discounts, markups, and successive price changes with net change results.

Initial Rate Calculator

Initial Rate
Discount/Markup
Successive Changes

Enter any 2 values to calculate the missing variable

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Initial Rate Formula

The following two example problems outline the steps and information needed to calculate the Initial Rate.

IR = FR / (1+C/100)
  • Where IR is the Initial Rate
  • FR is the final rate 
  • C is the percentage change (%) 

To calculate the initial rate, divide the final rate by 1 plus the change ratio.

How to Calculate Initial Rate?

The following example problems outline how to calculate Initial Rate.

Example Problem #1:

  1. First, determine the final rate.
    • The final rate is given as: 500.
  2. Next, determine the percentage change (%).
    • The percentage change (%) is provided as: 30.
  3. Finally, calculate the Initial Rate using the equation above: 

IR = FR / (1+C/100)

The values provided above are inserted into the equation below and computed.

IR = 500 / (1+30/100) = 384.61

Example Problem #2: 

For this problem, the variables required are provided below:

final rate = 600

percentage change (%) = 50

Test your knowledge using the equation and check your answer with the calculator..

IR = FR / (1+C/100) = ?