Chapter 7.4, Problem 26CCR

To determine

Find 17 is what percent of 20?

Answer to Problem 26CCR

17 is 85% of 20

Explanation of Solution

Given: Find 17 is what percent of 20?

Concept Used:

Let the required percent is x

Calculation:

1. We assume that the number 20 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 100% equals 20, so we can write it down as 100% = 115.

4. We know, that x% equals 17 of the output value, so we can write it down as x% = 17.

5. Now we can set a Proportion with same units and solve for x

  $\begin{array}{l}\frac{100\%}{x\%}=\frac{20}{17}\\ \frac{100}{x}=\frac{20}{17}\\ 20x=1700\\ \frac{20x}{20}=\frac{1700}{20}\\ x=85\end{array}$ 17 is 85% of 20

Thus, 17 is 85 % of 20.