To calculate the percentage increase, we shall observe the following steps
Step 1: get the initial and final values for the enrollment
Initial value = 87
Final value = 126
Step 2: Use the formula below
[tex]\text{percentage increase =}\frac{f\text{ inal -initial}}{i\text{ nitial}}\text{ x 100\%}[/tex]
Step 3: Substitute the value
[tex]\begin{gathered} \frac{126\text{ - 87}}{87}\text{ X 100\%} \\ \\ \Rightarrow\text{ }\frac{39}{87}\text{ x 100 \%} \\ \Rightarrow0.4483\text{ x 100\%} \\ \Rightarrow44.83\text{ \%} \end{gathered}[/tex]To round up the answer to the nearest whole number = 45%
The percentage increase is 45%