Growth Rate Calculator
Calculate percentage growth between any two values, with optional CAGR for multi-year periods.
Formula: Growth = ((End − Start) ÷ Start) × 100; CAGR = (End/Start)^(1/years) − 1
What Is Growth Rate?
Growth rate is the percentage change in a quantity between two measurements, usually taken at the start and end of a period such as a quarter, a year, or five years. It is the standard unit of comparison in business and economics because it removes the effect of scale. A 12% growth rate at a small startup and a 12% growth rate at a multinational company mean the same thing in trajectory even though the dollar amounts behind them are wildly different.
Growth rate answers a simple question: how much bigger, or smaller, did this get, relative to where it started? Because the answer comes out as a percentage rather than a raw number, it travels well. A finance team, a city planner, and a stock analyst can all apply the same formula to completely different kinds of data and still compare the results on equal footing.
Growth Rate Formula
Growth = ((End − Start) ÷ Start) × 100. A positive result means the value increased over the period; a negative result means it fell. The formula makes no assumption about how long the period was, it simply compares two points, so a value that doubles in one year and a value that doubles over ten years both read as "100% growth" under this formula. Closing that gap, between total growth and the pace of growth, is exactly what CAGR is for, covered in the next section.
How to Calculate Growth Rate
Simple Period-over-Period Growth
Use the basic formula when comparing exactly two points in time and the number of years between them does not matter for your purpose. Subtract the starting value from the ending value, divide by the starting value, then multiply by 100. If a company's revenue moved from $80,000 to $100,000 in a single quarter, the growth rate is ((100,000 − 80,000) ÷ 80,000) × 100 = 25%. This is the right calculation for one-off comparisons: last quarter against this quarter, last year's headcount against this year's, or any single before-and-after measurement.
Multi-Year CAGR
When the two points are separated by several years, a plain growth rate percentage can be misleading, because it says nothing about the pace of the growth along the way. Compound Annual Growth Rate converts a multi-year change into one steady annual rate, using (End ÷ Start)^(1 ÷ years) − 1. It answers a different question than simple growth rate does: not "how much did this grow overall," but "what constant yearly rate would have produced this exact result." Reach for CAGR whenever the reporting period runs longer than a year and you want a figure that is directly comparable to other annual rates.
Common Mistakes
The most common mistake is averaging a series of annual growth rates arithmetically instead of compounding them. A metric that grows 50% one year and falls 50% the next has an arithmetic average of 0%, but a starting value of 100 becomes 150 and then 75, a real loss of 25%. Simple averaging overstates or understates the true multi-year outcome any time the yearly growth rates vary; only compounding, whether through CAGR or by multiplying the year-over-year growth factors together, gives the actual result. A second frequent mistake is applying the simple growth formula across a multi-year span and reporting it as though it were an annual figure: a 60% total gain over four years is not a 15% annual growth rate, the true CAGR is closer to 12.5%.
Compound Annual Growth Rate (CAGR)
CAGR smooths a multi-year change into one constant annual rate, as if the value had grown by the exact same percentage every single year in between. The formula is (End ÷ Start)^(1 ÷ years) − 1, expressed as a percentage.
Worked example: revenue grows from $100,000 to $146,410 over 4 years. CAGR = (146,410 ÷ 100,000)^(1 ÷ 4) − 1 = 1.4641^0.25 − 1 = 1.10 − 1 = 0.10, or 10%. Checking the math in reverse confirms it: growing $100,000 by 10% for four years running gives 100,000 × 1.1 × 1.1 × 1.1 × 1.1 = $146,410, which matches the ending value exactly. That reversibility is what makes CAGR useful: it is the single rate that, compounded every year, reproduces the real outcome.
CAGR does hide detail on purpose. Two companies can post an identical 10% CAGR over four years while one grew at a steady pace and the other swung between a loss year and a big rebound year. When the underlying path matters, for risk, planning, or investor confidence, look at the year-by-year figures alongside the CAGR rather than in place of it.
Growth Rate vs Percentage Increase
Growth rate and percentage increase are the same calculation when both describe a single period moving upward. The choice of wording is about audience, not math: growth rate is the term used in business, economics, and finance, while percentage increase is the term used in everyday math and consumer contexts. A retailer reporting "15% revenue growth" and a teacher explaining a "15% increase" are doing identical arithmetic.
Growth Rate vs Percentage Decrease
A negative growth rate is a percentage decrease by another name. Saying a company's revenue "grew by −8%" and saying it "decreased by 8%" describe the same underlying fact. The growth rate framing keeps the sign, so increases and declines can sit in the same column of a spreadsheet and be sorted or averaged together; the decrease framing drops the sign because the direction is already built into the word itself.
Real-World Examples
1. Revenue: a business grows from $2,000,000 to $3,000,000 in one year. Growth = ((3,000,000 − 2,000,000) ÷ 2,000,000) × 100 = 50%, an absolute gain of $1,000,000.
2. Population: a town grows from 50,000 to 56,000 residents. Growth = ((56,000 − 50,000) ÷ 50,000) × 100 = 12%, an absolute gain of 6,000 residents.
3. User base: an app grows from 18,000 to 27,000 monthly active users. Growth = ((27,000 − 18,000) ÷ 18,000) × 100 = 50%, an absolute gain of 9,000 users.
4. GDP: a country's GDP moves from $1.00 trillion to $1.06 trillion in a year. Growth = ((1.06T − 1.00T) ÷ 1.00T) × 100 = 6%, an absolute gain of $60 billion.
5. Stock price: a share moves from $120 to $150. Growth = ((150 − 120) ÷ 120) × 100 = 25%, a gain of $30 per share. If that same move happened over three years instead of one, the CAGR would be (150 ÷ 120)^(1 ÷ 3) − 1 ≈ 7.7% a year, a very different number from the 25% total growth rate, and a good reminder to always check which one a headline figure is describing.
Frequently Asked Questions
What is a growth rate?
The percentage change in a value between two points in time, expressed relative to the starting value.
What is the growth rate formula?
((End − Start) ÷ Start) × 100.
What is CAGR?
Compound Annual Growth Rate: the constant yearly rate that would compound a starting value into the ending value over a given number of years.
What is the CAGR formula?
(End ÷ Start)^(1 ÷ years) − 1, expressed as a percent.
When should I use CAGR instead of plain growth rate?
Use CAGR for multi-year periods where you want a single smoothed annual rate. Use plain growth rate for single-period comparisons, such as one quarter versus the next.
Can growth rate be negative?
Yes. A negative growth rate is a decline, and the sign shows the direction the value moved.
Is growth rate the same as percentage increase?
Yes, when the result is positive and the comparison covers a single period. The terms come from different fields, but the math is identical.
How is growth rate used in business?
Revenue growth, user growth, ARR growth, and GDP growth are all tracked this way so results can be compared across companies and years of different size.
Why do CAGRs hide volatility?
Because they smooth a multi-year path into a single rate. Two companies can post the same CAGR while one grew steadily and the other swung between a loss year and a rebound year.
Can CAGR be greater than 100%?
Yes, for high-growth startups in their early years, though rates that high rarely hold up over many years.
What is a good CAGR?
It depends entirely on the industry and the size of the base. A mature public company might target 5 to 10% CAGR, while an early-stage startup might need 50% or more to satisfy investors. There is no universal benchmark.
How is growth rate different from CAGR?
Growth rate compares two points directly and says nothing about the path between them. CAGR spreads that same overall change evenly across every year in between, so it answers a different question: what steady annual rate would produce the same result.