When we apply a disccount to a product we subtract the value of the disccount from 100%, which is the original price of the product. In this case the disccount was 15%, so we paid an equivalent of:
[tex]100-15=85[/tex]85% of the original price. We want to find the original price, so we need to find how much is 100% in relation to that. For this we can use a rule of 3, the two variables are directly proportional, the more percents we have the bigger the value is. With this in mind we can solve the problem as shown below:
[tex]\begin{gathered} \frac{85\text{ \%}}{100\text{ \%}}=\frac{\text{ \$146.54}}{\text{ \$x}} \\ \frac{85}{100}=\frac{146.54}{x} \\ 85\cdot x=146.54\cdot100 \\ 85\cdot x=14654 \\ x=\frac{14654}{85}=172.4 \end{gathered}[/tex]The original value was $172.4
