$$ \begin{aligned} x+\frac{55}{100}x &= 19221&& \text{multiply ALL terms by } \color{blue}{ 100 }. \\[1 em]100x+100 \cdot \frac{55}{100}x &= 100\cdot19221&& \text{cancel out the denominators} \\[1 em]100x+55x &= 1922100&& \text{simplify left side} \\[1 em]155x &= 1922100&& \text{ divide both sides by $ 155 $ } \\[1 em]x &= \frac{1922100}{155}&& \\[1 em]x &= \frac{384420}{31}&& \\[1 em] \end{aligned} $$

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