$$ \begin{aligned} x+x\cdot\frac{22}{100} &= 135&& \text{multiply ALL terms by } \color{blue}{ 100 }. \\[1 em]100x+100x\cdot\frac{22}{100} &= 100\cdot135&& \text{cancel out the denominators} \\[1 em]100x+22x &= 13500&& \text{simplify left side} \\[1 em]122x &= 13500&& \text{ divide both sides by $ 122 $ } \\[1 em]x &= \frac{13500}{122}&& \\[1 em]x &= \frac{6750}{61}&& \\[1 em] \end{aligned} $$

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