Question

Find the number whose $12\frac{1}{2}\%$ is 64.

Answer 1

Let the number be x.

$$\begin{gathered} 12\frac{1}{2}\%\text{of x}=64 \\ \frac{25}{2}÷100\times \text{x}=64 \\ \frac{25\times \text{x}}{2\times 100}=64 \\ 25\times \text{x}=64\times 2\times 100 \\ x=\frac{\mathrm{64\times 2\times 100}}{25}=512 \end{gathered}$$