Exponential growth calculator
Enter a starting value, the growth per period in percent and the number of periods. You get the end value, the growth factor, the doubling time and the value after every period.
Fill in the fields; the answer appears here straight away.
How it's worked out
How it works
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Enter the values
Type the numbers or the formula. Decimals may use a point or a comma. No idea? Click Fill in an example.
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Instant answer
The answer appears as you type, with the most important intermediate values.
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See the working
Under "How it's worked out" you see the steps, handy for checking your own calculation.
The formula
N(t) = N₀ · gᵗ, where the growth factor g = 1 + percentage ÷ 100. With 5% growth per year, g = 1.05, and 1,000 grows to 1,000 × 1.05¹⁰ ≈ 1,628.89 after 10 years.
Doubling time
The doubling time is how many periods it takes to double: log(2) ÷ log(g). At 5% that is about 14.2 periods. A rough rule is the rule of 72: 72 ÷ 5 ≈ 14.4.
Where you see it
Compound interest, population growth, bacteria and viral spread all grow exponentially, at least for a while. For something that shrinks by a percentage, use the exponential decay calculator.
Frequently asked questions
Is the exponential growth free?
Yes. The exponential growth is completely free, with no account, sign-up or usage limit.
How accurate is the result?
The tool calculates with your browser's number precision. For important calculations, always double-check what you entered.
Does it work on my phone?
Yes. The tool works in any modern browser on a phone, tablet or computer.