Chapter SH, Problem 7.5.6EP

To determine

To calculate: To solve the problem using percent equation

Answer to Problem 7.5.6EP

  $52\%$ of $210$ is $109.2$

Explanation of Solution

Given information: Problem is $52\%$ of what number of $109.2$

Formula Used:

Using percent equation,

  $part=percent\times whole$

Calculation:

Given problem is as follows:

  $52\%$ of what number is $109.2$

Let the base number be $x$

Using percent equation

  $part=percent\times whole$

Substituting the values,

  $\begin{array}{l}109.2=52\%\times x\\ 109.2=\frac{52}{100}\times x\\ x=\frac{109.2}{52}\times 100\\ x=2.1\times 100\\ x=210\end{array}$

Conclusion:

Hence, $52\%$ of $210$ is $109.2$