Finance
Compound annual growth rate
Calculate the compound annual growth rate between a positive starting and ending value.
Calculators / Business / Growth rate
Growth Rate Calculator
Calculate numerical change, percentage growth, average change per period, and annualized growth.
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What does growth rate mean?
Growth rate is the change from a starting value to an ending value, divided by the starting value. Multiply by 100 to express it as a percentage. CAGR is different because it annualizes compounded growth over several periods.
Numerical change5,000
Total percentage growth50%
Average numerical change per period1,000
Annualized compound growth8.45%
Calculator controls
How to calculate
Calculate numerical change, percentage growth, average change per period, and annualized growth.
Change = ending value − starting value; growth = change ÷ starting value; annualized growth = (ending ÷ starting)^(1 ÷ periods) − 1.
Worked example
Starting value: 10000; Ending value: 15000; Number of periods or years: 5.
Numerical change: 5,000 ; Total percentage growth: 50 %; Average numerical change per period: 1,000 ; Annualized compound growth: 8.45 %.
Assumptions and limits
Annualized compound growth requires positive starting and ending values. Average change per period is linear and is not the same as CAGR.
Results are rounded for display; calculations use unrounded values. Read our calculation methodology.
Understanding the result
This growth rate calculator compares an ending value with its starting baseline. It separates total growth, average numerical change, and compound annualized growth so they are not mistaken for one another.
When this tool is useful
Calculate the growth rate of revenue, traffic, population, prices, or another quantity over one or more periods.
Understanding your inputs
| Input | What to enter |
|---|---|
| Starting value | Enter a number of at least 0.000001 and no more than 1000000000000. |
| Ending value | Enter a number of at least -1000000000000 and no more than 1000000000000. |
| Number of periods or years | Enter a number of at least 0.000001 and no more than 10000. |
Frequently asked questions
How is growth rate calculated?
Total percentage growth is the ending value minus the starting value, divided by the starting value. The annualized result also accounts for the number of periods.
Is growth rate the same as CAGR?
No. Total percentage growth describes the whole interval. CAGR is the constant compounded rate that would connect the starting and ending values over the entered periods.
Can growth be negative?
Yes. An ending value below the starting value produces a negative numerical and percentage change.