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

  • 1000 → 1000000 = multiply by 1000.00 (or + 99900.00 %) in 20 year(s)
  • multiply by 1.03 (or + 2.92 %) in 1 month
  • multiply by 1.41 (or + 41.25 %) in 1 year
  • multiply by 31.68 in 1 decade
  • goes x 2 every 2.01 year(s)
  • goes x 5 every 4.66 year(s)
  • goes x 10 every 6.67 year(s)
  • goes x 100 every 1.33 decade(s)

Extrapolation of data points

start point1,000 data point
after 5.00 year5,623interpolation
after 10.00 year31,623interpolation
after 15.00 year177,828interpolation
after 20.00 year1,000,000 data point
after 25.00 year5,623,413extrapolation
after 30.00 year31,622,777extrapolation
after 35.00 year177,827,941extrapolation
after 40.00 year1,000,000,000extrapolation
after 45.00 year5,623,413,252extrapolation
after 50.00 year31,622,776,602extrapolation
after 5.50 decade177,827,941,004extrapolation
after 6.00 decade1,000,000,000,000extrapolation

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