Numbers
Rechner für exponentielles Wachstum
Used by developers, writers, and creators worldwide.
An exponential growth calculator projects how a quantity grows or shrinks when it changes by the same percentage each period. Enter a starting value, a growth rate per period, and a number of periods, and it compounds the change to give the final value, the total change, and either the doubling time for growth or the half-life for decay. Exponential change governs populations, bacterial cultures, compound interest, radioactive decay, viral spread, and Moore’s law, where constant percentage change leads to dramatic results over time. Students use the tool to understand why exponential curves accelerate, scientists to model decay, and analysts to project trends. The doubling time, which depends only on the rate and not the starting amount, captures the speed of growth in a single intuitive number, while a negative rate flips the model into decay with a half-life. Use it to forecast growth or model decay.
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How to use
- Choose your options above
- Click Generate
- Copy your result
Detailed instructions
- Enter the initial value.
- Set the growth rate per period as a percentage.
- Choose the number of periods.
- Click Generate to project the result.
Use Cases
- •Projecting population or user growth
- •Modelling radioactive or value decay
- •Finding the doubling time of a growing quantity
- •Understanding why exponential curves accelerate
- •Forecasting a trend that changes by a fixed percent
Tips
- →Doubling time depends on the rate, not the starting value.
- →Enter a negative rate to model decay and a half-life.
- →Small steady rates compound into large changes.
- →A zero rate leaves the value unchanged.
FAQ
what is doubling time
It is how many periods a quantity takes to grow to twice its size at a fixed growth rate. It depends only on the rate, not the starting amount, which is why a small steady percentage can still double a value surprisingly fast.
how do i model decay instead of growth
Enter a negative growth rate. The same compounding applies but the value shrinks each period, and the tool reports a half-life, the time taken for the quantity to fall to half its value.
is this a guaranteed forecast
No. It assumes one constant rate forever, which rarely holds in the real world where rates change. Treat the projection as an educational estimate to explore the shape of exponential change, not a precise prediction.
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