$$ \begin{aligned} \frac{3}{5} &= \frac{x}{100}&& \text{multiply ALL terms by } \color{blue}{ 100 }. \\[1 em]100\cdot\frac{3}{5} &= 100 \cdot \frac{x}{100}&& \text{cancel out the denominators} \\[1 em]60 &= x&& \text{ swap the left and right side of the equation } \\[1 em]x &= 60&& \\[1 em]x &= 60&& \\[1 em] \end{aligned} $$
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