Given:
Initial weight is 8 pounds.
Final weight after 6 months is 15 pounds.
The objective is to find the increase in weight from birth to 6 months.
The increase in percentage of initial weight can be calculated as,
![((x)/(100))Initial\text{ weight=Final weight}](https://img.qammunity.org/2023/formulas/mathematics/college/kkpwcl2plg2annbxxzw8h5zh7aaho2uugs.png)
Substitute the given values in the above equation.
![\begin{gathered} ((x)/(100))8=15 \\ (x)/(100)=(15)/(8) \\ (x)/(100)=(15)/(8) \\ (x)/(100)=(7)/(8) \\ x=(7)/(8)\cdot100 \\ x=87.5\text{ } \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/ervc55haxeh06oykpgxjpkza79mcusf38p.png)