Compound percentage growth calculator

Compound Percentage Growth Calculator

Enter a starting value, a percentage rate per period, and the number of periods. The calculator repeatedly applies that rate and shows the ending value, total growth factor, and cumulative change.

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Ending value

1,157.625

1,000 growing by 5% per period for 3 periods ends at 1,157.625, a total gain of 157.625 (15.7625%).

Total gained

157.625

Total percentage growth

15.7625%

Growth factor

1.157625

Compound growth

How it works

Apply each period to the value produced by the previous one

Compound growth is not the starting value plus the same fixed amount each time. Every period applies the percentage to the latest value, so the base changes as the sequence continues.

Formula

ending value = starting value × (1 + rate ÷ 100)periods

The expression in parentheses is the per-period multiplier. Raising it to the number of periods produces the total growth factor.

Worked example

  1. 1. Start with 1,000, a rate of 5% per period, and 3 periods.
  2. 2. Convert the rate into the per-period multiplier: 1 + (5 ÷ 100) = 1.05.
  3. 3. Raise 1.05 to the power of 3 to get the total growth factor 1.157625.
  4. 4. Multiply 1,000 by 1.157625 to get the ending value 1,157.625.

Choose the right growth tool

  • Compound growth: repeatedly apply one rate for several periods.
  • Percentage increase: compare one known starting value with one known ending value.
  • Percentage change: measure either growth or decline between two known values.
  • Scope: this page shows general percentage mathematics, not investment projections or financial advice.

Related calculators

Continue through the growth tools

Use Percentage Increase for one known change, Percentage Change for a known start and end, or Reverse Percentage to work backward from a final value.

One-time comparison

Percentage Increase Calculator

Compare one original value with one later value instead of applying a repeated rate.

Known start and end

Percentage Change Calculator

Measure the actual percentage movement between two known values.

Recover the starting point

Reverse Percentage Calculator

Work backward from a final amount after a one-time increase or decrease.

One-time decline

Percentage Decrease Calculator

Measure one known drop from an original value to a lower value.