We are given that Tracey paid $185 for an item that costs $360. To determine the percentage of the original price she paid we will use the following relationship:
[tex]\frac{360x}{100}=185[/tex]Where "x" is the percentage of 360 that yields 185. Now we solve for "x" first by multiplying both sides by 100:
[tex]\begin{gathered} 360x=100\cdot185 \\ 360x=18500 \end{gathered}[/tex]Now we divide both sides by 360:
[tex]x=\frac{18500}{360}[/tex]Solving the operation:
[tex]x=51.39[/tex]Therefore, Tracey paid 51.39 percent of the original price.
