Question

Convert $7.185$ into percentage.

Answer 1

To convert decimal into percentage, we multiply it by $100$.

Step 1: Removing the decimal from $7.185$ and converting it to fraction.

We divide $7.185$ by $1000$ as it has values up to three places after the decimal.

Hence, $7.185=\frac{7185}{1000}$

Step 2: To convert the fractional form into percentage, we multiply it by $100$.

$$\begin{gathered} \Rightarrow \frac{7185}{1000}\times 100=\frac{7185}{10\cancel{00}}\times 1\cancel{00} \\ \Rightarrow \frac{7185}{10}\%=718.5\% \end{gathered}$$

(divide by $10$, i.e., shifting decimal point to left by one place)

Hence, $7.185=718.5\%$