Chapter 12.3, Problem 36SR

To determine

To find: $12$ is what percent of $78$ .

Answer to Problem 36SR

  $12\%$ of $78$ is $9.36$

Explanation of Solution

Given:

Given output: $78$ percent

Concept Used:

Percent equation.

Calculation:

As here, output percent value is $78$

Let, represent the unknown value with $x$

So $78=100\%$ … $\left(i\right)$

And similarly $x=12\%$ $\left(ii\right)$

By dividing equation $\left(i\right)$ by equation $\left(ii\right)$ and noting that both the RHS (right hand side) of both equations have the same unit $\left(\%\right)$

  $\frac{78}{x}=\frac{100\%}{12\%}$

Reciprocal the both sides,

  $\begin{array}{l}\frac{x}{78}=\frac{12}{100}\\ x=9.36\end{array}$

So the $12\%$ of $78$ is $9.36$

Conclusion:

Thus, $12\%$ of $78$ is $9.36$