Enter the start value, end value, and number of years.

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Introduction

Introduction

This growth rate calculator compares a starting value with an ending value over time. It can estimate total percentage growth, average annual growth, and compound annual growth rate (CAGR) when the period is known.

An annualized rate summarizes the change between two points. It does not show the path taken, volatility, interim losses, deposits, withdrawals, fees, or whether growth was actually steady.

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Definition

What is a growth rate?

A growth rate describes how much a value changes relative to its starting value. Total growth is the percentage change over the whole period, while CAGR expresses the equivalent constant annual compounding rate.

CAGR is useful for comparing investments, revenue, populations, or other values across different time spans, but it is a mathematical summary rather than a record of year-by-year performance.

Growth rate formulas

Total percentage growthGrowth % = (ending value − starting value) ÷ starting value × 100

This shows the total relative change and does not annualize the result.

Compound annual growth rateCAGR = (ending value ÷ starting value)^(1 ÷ years) − 1

CAGR is the constant annual rate that would connect the starting and ending values if growth compounded evenly.

CAGR requires positive comparable values and a meaningful time period. A negative or zero starting value needs a different interpretation.

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How to use

How to use this calculator

  1. Enter the starting value and ending value.
  2. Enter the elapsed period and select years or another supported unit.
  3. Review total change, percentage growth, and annualized growth.
  4. Check that the values measure the same thing and use the same units.
  5. Interpret the result with context such as inflation, deposits, withdrawals, seasonality, or market volatility.
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Worked examples

Examples

Example 01Two-year growth

What is the total growth from 100 to 121 over two years?

    Example 02Revenue growth

    What is the annualized growth from 50,000 to 80,000 over four years?

      Example 03Declining value

      What is growth when a value falls from 200 to 150?

        Example 04Different periods

        Why must a three-year period be entered correctly?

          Example 05Inflation comparison

          How can nominal growth be compared with inflation?

            Example 06Interim volatility

            Can CAGR show a fall followed by a recovery?

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              Result interpretation

              How to interpret the result

              Use total growth to describe the whole-period change and CAGR to compare equivalent annual rates. Keep both labels clear so they are not confused.

              A growth rate is meaningful only when the starting and ending values are comparable and the period, currency, units, and adjustments are documented.

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              Common mistakes

              Common mistakes

              Reporting total growth as if it were an annual rate.

              Using the wrong number of years or mixing months and years.

              Ignoring deposits, withdrawals, splits, acquisitions, or changes in measurement definition.

              Treating CAGR as evidence that growth was smooth or low-risk.

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              Limits and special cases

              Limitations and financial safety

              This tool is a mathematical comparison, not investment, business, economic, or financial advice. It does not validate data quality or predict future growth.

              Check the source data, inflation, fees, methodology, and relevant professional guidance before making a decision based on the result.

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              Frequently asked questions

              FAQ

              What is the difference between growth and CAGR?

              Total growth covers the whole period. CAGR expresses an equivalent compounded annual rate.

              Can CAGR be negative?

              Yes. If the ending value is below the starting value over a positive period, CAGR is negative.

              Does CAGR show volatility?

              No. It uses endpoints and time, so it can hide large interim increases or declines.

              Can I use months?

              Convert the period consistently, such as months divided by 12 when the formula expects years.

              What if the starting value is zero?

              Percentage growth and CAGR are not defined with the standard formulas when the starting value is zero.

              Does this include inflation?

              Not automatically. Compare nominal and inflation-adjusted values in separate scenarios.

              Can revenue growth include acquisitions?

              It can be calculated mathematically, but explain changes in business scope because the result may not represent organic growth.

              Is a higher growth rate always better?

              Not necessarily. Risk, sustainability, costs, quality, and the measurement definition also matter.

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