The sales tax is 6.5% of $87.99. If $87.99 represents 100%, to find the 6.5% we can use the next proportion:
[tex]\frac{87.99\text{ \$}}{x\text{ \$}}=\frac{100\text{ \%}}{6.5\text{ \%}}[/tex]Solving for x:
[tex]\begin{gathered} 87.99\cdot6.5=100\cdot x \\ \frac{571.9}{100}=x \\ 5.72=x \end{gathered}[/tex]The sales tax is $5.72. In consequence, the total cost is:
[tex]\begin{gathered} \text{total cost = price + sales tax} \\ \text{total cost = \$}87.99+\text{\$}5.72 \\ \text{total cost = \$}93.71 \end{gathered}[/tex]