Calculate the Whole Number When 27% Equals 4: Percentage Problem

Question

Calculate the whole if 27 percent is equal to 4:

Video Solution

Solution Steps

00:00 Determine the whole number
00:04 Apply the formula to convert percentages to fractions
00:11 This fraction is equal to 27%
00:19 Multiply the fraction by the whole number to obtain 4 according to the given data
00:25 Multiply by the reciprocal fraction to isolate the whole number
00:31 Simplify wherever possible
00:57 This is the solution

Step-by-Step Solution

To solve this problem, we need to find the whole value when 27% of it equals 4. We'll use the percentage formula:

Percentage=(PartWhole)×100\text{Percentage} = \left(\frac{\text{Part}}{\text{Whole}}\right) \times 100

We know the percentage is 27%, and the part is 4. Substituting these values, we have:

27=(4Whole)×10027 = \left(\frac{4}{\text{Whole}}\right) \times 100

To find the whole, rearrange the equation:

27=4Whole×10027 = \frac{4}{\text{Whole}} \times 100

Now, solve for the whole:

Whole=4×10027\text{Whole} = \frac{4 \times 100}{27}

Whole=40027\text{Whole} = \frac{400}{27}

By calculating the division:

Whole14.81\text{Whole} \approx 14.81

Therefore, the solution to the problem is 14.8114.81.

Answer

14.81