Calculate the Whole: When 64% Equals 5

Video Solution

Solution Steps

00:00 Determine the whole number

00:03 Apply the formula to convert percentages to fractions

00:09 This fraction is equal to 64%

00:17 Multiply the fraction by the whole number to obtain 5 according to the given data

00:26 Multiply by the reciprocal fraction to isolate the whole number

00:42 Simplify wherever possible

01:00 This is the solution

Step-by-Step Solution

To solve this problem, we'll follow these steps:

Now, let's work through each step:
Step 1: The given percentage is 64%. To convert it to a decimal, we divide by 100: $64\% = 0.64$ .

Step 2: Use the formula for finding the whole:
$\text{Whole} = \frac{\text{Part}}{\text{Percentage as a decimal}} = \frac{5}{0.64}$

Step 3: Perform the division:
$\frac{5}{0.64} = 7.8125$

Therefore, rounding to two decimal places, the whole is $7.81$ .