# Population increases R% every year and after n years the population becomes P. What was/were the population before n years?

May 21, 2018

${P}_{0} = \frac{P}{1 + 0.01 \cdot R} ^ n$

#### Explanation:

Let's same ${P}_{0}$ is the Initial (Starting) Population.
To Find Resulting P after n years with a growth rate of R%:
$P = {P}_{0} {\left(1 + 0.01 \cdot R\right)}^{n}$

To find what was the population before n years, we need to solve for ${P}_{0}$:

${P}_{0} = \frac{P}{1 + 0.01 \cdot R} ^ n$