$$ \begin{aligned} \frac{100}{1} &= \frac{64}{x}&& \text{multiply ALL terms by } \color{blue}{ x }. \\[1 em]x\cdot\frac{100}{1} &= x\cdot\frac{64}{x}&& \text{cancel out the denominators} \\[1 em]100x &= 64&& \text{ divide both sides by $ 100 $ } \\[1 em]x &= \frac{64}{100}&& \\[1 em]x &= \frac{16}{25}&& \\[1 em] \end{aligned} $$
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