so, say "x" is the regular price, which is 100%.
now, the item is discounted though, is discounted 12% off "x", and is 4115.31, that means 4115.31 is really 100% - 12% or the 88% of the original price.
now, if 4115.31 is 88% of the original price "x", what the dickens is "x"?
[tex]\bf \begin{array}{ccll}
amount&\%\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
x&100\\
4115.31&88
\end{array}\implies \cfrac{x}{4115.31}=\cfrac{100}{88}\implies x=\cfrac{4115.31\cdot 100}{88}[/tex]
