Problem 62 - Introductory Algebra for College Students

Question

A charity has raised \(\$ 225,000,\) with a goal of raising \(\$ 500,000 .\) What percent of the goal has been raised?

Step-by-Step Solution

Answer

The charity has raised 45% of their goal.

Step 1: Identify the Part and the Whole

In this case, the part is the amount that's already been raised, which is \( \$225,000. \) The whole is the total amount the charity aims to raise, which is \( \$500,000 . \)

Step 2: Substitute the Part and the Whole into the percentage formula

The percentage can be computed by substituting the given values into the formula: \( \frac{Part}{Whole} \times 100 = \frac{\$225,000}{\$500,000} \times 100 \)

Step 3: Calculate the Percentage

Performing the above mathematical operation, the percentage of the goal that's been raised is 45.