Multiply both sides by \(x\).
\[\frac{5}{8}x=100\]
Simplify \(\frac{5}{8}x\) to \(\frac{5x}{8}\).
\[\frac{5x}{8}=100\]
Multiply both sides by \(8\).
\[5x=100\times 8\]
Simplify \(100\times 8\) to \(800\).
\[5x=800\]
Divide both sides by \(5\).
\[x=\frac{800}{5}\]
Simplify \(\frac{800}{5}\) to \(160\).
\[x=160\]
x=160
