Chapter 7.2, Problem 7E

To determine

To calculate: the percent of $30\text{ is }20$

Answer to Problem 7E

The percent of $30\text{ is }20$ $=66\frac{2}{3}\%$

Explanation of Solution

Given information: the question is the percent of $30\text{ is }20$

Calculation: Let x be the number,

Write percentage as a fraction,

Therefore,

  $\begin{array}{l}\frac{x}{100}=\frac{20}{30}\\ \frac{x}{100}\times 100=\frac{20\times 100}{30}\\ x=\frac{200}{3}\\ x=66\frac{2}{3}\end{array}$

The percent of $30\text{ is }20$ $=66\frac{2}{3}\%$

The error is the question was regarding finding the percent, whereas it is treated as finding part of the base