to calculate original price we can write an expression
you multiply the original price by percent of discount(subtracting 100) dividing between 100 and obtain the final price
[tex]x\times\frac{100-15}{100}=146.54[/tex]where x is the original price
simplify
[tex]\begin{gathered} x\times\frac{85}{100}=146.54 \\ \\ x\times0.85=146.54 \\ x=\frac{146.54}{0.85} \\ \\ x=172.40 \end{gathered}[/tex]Original price was $172.40