Chapter P, Problem 1PSDT

What percent of $50$ is $10?$

To determine

To find:

The percentage of $50$ that is $10$.

Answer to Problem 1PSDT

Solution:

The percent is $20\%$.

Explanation of Solution

Approach:

The $y$ percentage of a number $x$ is given by,

$z=\frac{xy}{100}\mathrm{...}\left(1\right)$

Here, $z$ is the percentage value.

Calculation:

Consider,

$x=50$ and $z=10$

Substitute $50$ for $x$ and $10$ for $z$ in equation $\left(1\right)$.

$\begin{array}{rll}10& =& \frac{\left(50\right)y}{100}\\ y& =& \frac{10}{50}\times 100\\ & =& 0.2\times 100\\ & =& 20\%\end{array}$

Therefore, the percent is $20\%$.