Given data:
The initial population is I=86.
The final population is F=102.
The expression for the percentage change is,
[tex]\Delta=\frac{F-I}{I}\times100[/tex]Substitute the given values in the above expression.
[tex]\begin{gathered} \Delta=\frac{102-86}{86}\times100 \\ =\frac{16}{86}\times100 \\ =18.60465\text{ percent} \\ \approx19\text{ percent} \end{gathered}[/tex]Thus, the percentage change is 19%.