Calculate the Whole: When 64% Equals 5

Calculate the whole if 64 percent is equal to 5:

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Step-by-step video solution

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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 written solution

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1

Understand the problem

Calculate the whole if 64 percent is equal to 5:

2

Step-by-step solution

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

  • Step 1: Convert the given percentage to a decimal.
  • Step 2: Use the formula to solve for the whole.
  • Step 3: Calculate and identify the correct option.

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 64\% = 0.64 .

Step 2: Use the formula for finding the whole:
Whole=PartPercentage as a decimal=50.64\text{Whole} = \frac{\text{Part}}{\text{Percentage as a decimal}} = \frac{5}{0.64}

Step 3: Perform the division:
50.64=7.8125 \frac{5}{0.64} = 7.8125

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

3

Final Answer

7.81

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Calculate 30 over 100 as a percentage:

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