Question

How can I show my work for: 120% of what number is 50

Answer 1

120% is "x" is 50, meaning "x" must be the 100%.

if 50 is 120% of "x", and "x" is the 100%, what is "x"?

$\bf \begin{array}{ccll} amount&\%\\ \cline{1-2} x&100\\ 50&120 \end{array}\implies \cfrac{x}{50}=\cfrac{100}{120}\implies \cfrac{x}{50}=\cfrac{5}{6}\implies 6x=250 \\\\\\ x = \cfrac{250}{6}\implies x = \cfrac{125}{3}\implies x = 41\frac{2}{3}\implies x = 41.\overline{6}$