Question

What percent of $90$ is $120$?

Answer 1

Convert the given quantity into a percentage.

Let us consider that $x\%$ of $90$ is equal to $120$.

$$\begin{gathered} \therefore x\%\mathrm{of}90=120 \\ \Rightarrow \frac{x}{100}\times 90=120 \\ \Rightarrow x=120\times \frac{100}{90} \\ \Rightarrow x=\frac{12000}{90} \\ \Rightarrow x=\frac{400}{3} \\ \Rightarrow x=133\frac{1}{3} \end{gathered}$$

Hence, the $33\frac{1}{3}\%$ of $90$ is equal to$120$ .