Chapter 7.4, Problem 23CCR

To determine

Find 46 is what percent of 115?

Answer to Problem 23CCR

46 is 40% of 115

Explanation of Solution

Given: Find 46 is what percent of 115?

Concept Used:

Let the required percent is x

Calculation:

1. We assume that the number 115 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 115, so we can write it down as 100% = 115.

4. We know, that x% equals 46 of the output value, so we can write it down as x% = 46.

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

  $\begin{array}{l}\frac{100\%}{x\%}=\frac{115}{26}\\ \frac{100}{x}=\frac{115}{26}\\ 115x=2600\\ \frac{115x}{115}=\frac{2600}{115}\\ x=40\end{array}$ 46 is the 40% of 115

Thus, 46 is 40 % of 115