Convert Percent Growth per Time Span

Calculator for converting growth or profit in percent per time span to another time span. Due to the compound interest effect, the growth does not increase linearly, but exponentially. For example, if you make 10% profit per year, then after one year you have 110% and now make 11% profit in relation to the starting value. So that's 21% in two years.
Please enter both time spans and the percentage of the increase in the first time period. One year is calculated as 365.2421875 days. The formula for the calculation is: p₂ = 100 * [ ( 1 + p₁/100 )^t₂/t₁ - 1 ]

Example: 5 percent growth in one year make after 4.5 years about 24.552 percent increase. The input for this case is time span t₁ = 1, percentage p₁ = 5 and time span t₂ = 4.5.

The formula above is the compound interest formula, modified to calculate the interest rate for the second time span. To use this formula, the two time spans must first be converted to the same unit. Seconds are a suitable unit, which also this calculator uses internally.
The result, the increase after the specified time period, indicates how much the initial value has grown. Using the values ​​from the example above, if the initial value is 100, the value after 4.5 years is 124.552. After x years, it is x * 1.24522; for x = 250, this would be approximately 311.3.

A value that grows regularly at a fixed percentage is, of course, often money in a fixed-interest investment. However, it is important to note that the term of these investments is usually limited. Where there is no such limit, for example, in a savings account, the interest rate can change, sometimes even several times a year.
Other examples of percentage growth are harder to find. Percentage growth is also called exponential growth, and such growth always reaches natural limits after a certain number of cycles. Some bacteria, for example, can spread extremely quickly, with doubling rates, that is 100 percent growth, in less than half an hour. This, of course, cannot happen often. Human population growth can also be exponential for some time, but much slower, for example something like 2 percent per year.