Solution
Step 1
Use the concept of percentage decrease.
Step 2
New price = $458.81
Original price = x
Percentage decrease = 27%
Step 3
Find the decrease
[tex]\begin{gathered} Decrease\text{ = 27\% of x} \\ \\ =\text{ 0.27x} \end{gathered}[/tex]Step 4
New price = Original price - Decrease
[tex]\begin{gathered} 458.81\text{ = x - 0.27x} \\ \\ 458.81\text{ = 0.73x} \end{gathered}[/tex]Step 5
Divide both sides by 0.73
[tex]\begin{gathered} 458.81\text{ = 0.73x} \\ \\ x\text{ = }\frac{458.81}{0.73} \\ \\ x\text{ = 628.506849315} \end{gathered}[/tex]Final answer
The original price is $628.51