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

Question

Calculate the whole if 60 percent is equal to 4:

Video Solution

Solution Steps

00:00 Determine the whole number
00:05 Apply the formula to convert percentages to fractions
00:13 This fraction is equal to 60%
00:19 Multiply the fraction by the whole number to obtain 4 according to the given data
00:27 Multiply by the reciprocal fraction to isolate the whole number
00:38 Reduce wherever possible
00:55 Factor out and reduce wherever possible
00:58 This is the solution

Step-by-Step Solution

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

  • Step 1: Identify the given information.
  • Step 2: Apply the appropriate formula for the percentage calculation.
  • Step 3: Perform the necessary calculations to find the whole number.

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: whole=part×100percentage \text{whole} = \frac{\text{part} \times 100}{\text{percentage}}

Step 3: Plugging in the values, we have: whole=4×10060 \text{whole} = \frac{4 \times 100}{60} whole=40060 \text{whole} = \frac{400}{60} whole=203 \text{whole} = \frac{20}{3}

Simplifying further, whole6.66 \text{whole} \approx 6.66

Therefore, the solution to the problem is 6.66 6.66 .

Answer

6.66