Solve for the Whole: Finding Total When 60 Percent Equals 4

Video Solution

Solution Steps

00:05 First, find the whole number we need to work with.

00:10 Next, let's convert the percent to a fraction. Here's how: sixty percent becomes sixty over one hundred.

00:18 Notice that this fraction stands for sixty percent.

00:24 Now, multiply the fraction by the whole number. This should give us four, based on what we're told.

00:32 Then, multiply by the reciprocal of the fraction. This helps us find the whole number.

00:43 Remember to simplify or reduce the fraction whenever you can.

01:00 Factor and reduce again, if possible.

01:04 And there you have it, that's our solution!

Step-by-Step Solution

To solve this problem, we'll proceed with the following steps:

Now, let's work through each step:

Step 1: The problem states that 60% of a number is equal to 4. We need to find this number, denoted as the whole.

Step 2: We'll use the percentage formula: $\text{whole} = \frac{\text{part} \times 100}{\text{percentage}}$

Step 3: Plugging in the values, we have: $\text{whole} = \frac{4 \times 100}{60}$ $\text{whole} = \frac{400}{60}$ $\text{whole} = \frac{20}{3}$

Simplifying further, $\text{whole} \approx 6.66$

Therefore, the solution to the problem is $6.66$ .