1.7 Percent

$$\begin{array}{rrrrr}\hfill \frac{3}{5}& \hfill =& \frac{3}{5}·\frac{100}{100}\hfill & \hfill & \text{Multiply\hspace{0.17em}the\hspace{0.17em}fraction\hspace{0.17em}by\hspace{0.17em}1}.\hfill \\ \hfill & \hfill =& \frac{3}{5}·100·\frac{1}{100}\hfill & \hfill & \text{Since \hspace{0.17em}}\frac{100}{100}=100·\frac{1}{100}.\hfill \\ \hfill & \hfill =& \frac{300}{5}·\frac{1}{100}\hfill & \hfill & \text{Divide\hspace{0.17em}}300\text{\hspace{0.17em}by\hspace{0.17em}5}.\hfill \\ \hfill & \hfill =& 60·\frac{1}{100}\hfill & \hfill & \text{Multiply\hspace{0.17em}the\hspace{0.17em}fractions}.\hfill \\ \hfill & \hfill =& 60\%\hfill & \hfill & \text{Replace\hspace{0.17em}}\frac{1}{100}\text{with\hspace{0.17em}the\hspace{0.17em}}\%\text{\hspace{0.17em}symbol}.\hfill \end{array}$$

$$\begin{array}{lll}\frac{1}{4}\hfill & =\hfill & \frac{1}{4}·100·\frac{1}{100}\hfill \\ \hfill & =\hfill & \frac{100}{4}·\frac{1}{100}\hfill \\ \hfill & =\hfill & 25·\frac{1}{100}\hfill \\ \hfill & =\hfill & 25\%\hfill \end{array}$$

$$\begin{array}{lll}\frac{8}{5}\hfill & =\hfill & \frac{8}{5}·100·\frac{1}{100}\hfill \\ \hfill & =\hfill & \frac{800}{5}·\frac{1}{100}\hfill \\ \hfill & =\hfill & 160\%\hfill \end{array}$$

$$\begin{array}{lll}\frac{4}{9}\hfill & =\hfill & \frac{4}{9}·100·\frac{1}{100}\hfill \\ \hfill & =\hfill & \frac{400}{9}·\frac{1}{100}\hfill \\ \hfill & =\hfill & \left(\mathrm{44.4...}\right)·\frac{1}{100}\hfill \\ \hfill & =\hfill & \left(44.\overline{4}\right)·\frac{1}{100}\hfill \\ \hfill & =\hfill & 44.\overline{4}\%\hfill \end{array}$$

$$\begin{array}{lll}0.62\hfill & =\hfill & 0.62·100·\frac{1}{100}\hfill \\ \hfill & =\hfill & 62·\frac{1}{100}\hfill \\ \hfill & =\hfill & 62\%\hfill \end{array}$$

Notice that the decimal point in the original number has been moved to the right 2 places.

$$\begin{array}{lll}8.4\hfill & =\hfill & 8.4·100·\frac{1}{100}\hfill \\ \hfill & =\hfill & 840·\frac{1}{100}\hfill \\ \hfill & =\hfill & 840\%\hfill \end{array}$$

Notice that the decimal point in the original number has been moved to the right 2 places.

$$\begin{array}{lll}0.47623\hfill & =\hfill & 0.47623·100·\frac{1}{100}\hfill \\ \hfill & =\hfill & 0.47623·\frac{1}{100}\hfill \\ \hfill & =\hfill & 47.623\%\hfill \end{array}$$

Notice that the decimal point in the original number has been moved to the right 2 places.

$$\begin{array}{lll}48\%\hfill & =\hfill & 48·\frac{1}{100}\hfill \\ \hfill & =\hfill & \frac{48}{100}\hfill \\ \hfill & =\hfill & 0.48\hfill \end{array}$$

Notice that the decimal point in the original number has been moved to the left 2 places.

$$\begin{array}{lll}659\%\hfill & =\hfill & 659·\frac{1}{100}\hfill \\ \hfill & =\hfill & \frac{659}{100}\hfill \\ \hfill & =\hfill & 6.59\hfill \end{array}$$

Notice that the decimal point in the original number has been moved to the left 2 places.

$$\begin{array}{lll}0.4113\%\hfill & =\hfill & 0.4113·\frac{1}{100}\hfill \\ \hfill & =\hfill & \frac{0.4113}{100}\hfill \\ \hfill & =\hfill & 0.004113\hfill \end{array}$$

Notice that the decimal point in the original number has been moved to the left 2 places.