Exponential growth calculator

Some things grow or decay in an exponential way. This means that for every time unit (e.g. a day) the metric changes with ± the same percentage. If you can say "it doubles every _ days" => this means it has exponential growth/increase! If you can say "it drops to half every _ days", it has logarithmic decay/decrease!

Growth calculation

Exponential factor

  • 100 → 110 = multiply by 1.10 (or + 10.00 %) in 1 day(s)
  • multiply by 1.10 (or + 10 %) in 1 day
  • multiply by 1.95 (or + 95 %) in 1 week
  • multiply by 18.16 in 1 month
  • goes x 2 every 1.04 week(s)
  • goes x 5 every 2.41 week(s)
  • goes x 10 every 3.45 week(s)
  • goes x 100 every 1.59 month(s)

Extrapolation of data points

start point100 data point
after 6.00 hour102interpolation
after 12.00 hour105interpolation
after 18.00 hour107interpolation
after 24.00 hour110 data point
after 30.00 hour113extrapolation
after 36.00 hour115extrapolation
after 42.00 hour118extrapolation
after 48.00 hour121extrapolation
after 54.00 hour124extrapolation
after 60.00 hour127extrapolation
after 66.00 hour130extrapolation
after 72.00 hour133extrapolation

Examples

Carbon-14 has a radioactive half-life of 5730 years
Social Media: Facebook grew from 1 mio MAU in 2004 to 2.32 bil in 2018
Moore's Law: number of transistors on a chip doubles every 2 years (1990-2010)
Growth of people infected by COVID-19 in the USA between 15 and 29 March 2020
Business: month on month double digit growth = x 3.14 per year