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:
![(360x)/(100)=185](https://img.qammunity.org/2023/formulas/physics/college/wo4cit8eankj1v83de8tpca304xl6guj03.png)
Where "x" is the percentage of 360 that yields 185. Now we solve for "x" first by multiplying both sides by 100:
![\begin{gathered} 360x=100\cdot185 \\ 360x=18500 \end{gathered}](https://img.qammunity.org/2023/formulas/physics/college/hrrf3rg8xjlzgrw5ndipg9iz6h436wegxc.png)
Now we divide both sides by 360:
![x=(18500)/(360)](https://img.qammunity.org/2023/formulas/physics/college/yhtzrclur1w7bqvgowpuhkpxg4ejwfh978.png)
Solving the operation:
![x=51.39](https://img.qammunity.org/2023/formulas/physics/college/wtjg9rbq2fm31tjreppc8m3osdnfzelh8o.png)
Therefore, Tracey paid 51.39 percent of the original price.