Question

Nichole is out shopping and finds a $51.00 bike that was

Answer 1

it was originally "x" or that is 100%.  We also know that she found it for 51 bucks, and that those 51 bucks are 100% - 92% = 8% of the original price, so

$\begin{array}{ccll} amount&\%\\ \cline{1-2} x&100\\ 51&8 \end{array}\implies \cfrac{x}{51}=\cfrac{100}{8}\implies \cfrac{x}{51}=\cfrac{25}{2} \\\\\\ 2x=1275\implies x=\cfrac{1275}{2}\implies x=637.5$

Answer 2

51 x 1.92 = 97.92.
if it’s marked down, divide the percent by 100 and add one. then multiply this number with the discounted number to find the original price.