Solve the Equation: If 35% Equals 7, What is the Whole?

Calculate the whole if 35 percent is equal to 7:

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Step-by-step video solution

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00:00 Determine the whole number
00:05 Apply the formula to convert percentages to fractions
00:16 This fraction is equal to 35%
00:22 Multiply this fraction by the whole number in order to obtain 7 according to the given data
00:30 Multiply by the reciprocal fraction in order to isolate the whole number
00:53 Reduce wherever possible
01:09 Factor out and reduce wherever possible
01:16 This is the solution

Step-by-step written solution

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1

Understand the problem

Calculate the whole if 35 percent is equal to 7:

2

Step-by-step solution

To solve this problem, we'll calculate the whole number using the provided percentage and part of that percentage.

  • Step 1: The given part is 7, which corresponds to 35% of the whole.
  • Step 2: Use the formula: whole=part×100percentage \text{whole} = \frac{\text{part} \times 100}{\text{percentage}}
  • Step 3: Substitute the known values: whole=7×10035 \text{whole} = \frac{7 \times 100}{35}
  • Step 4: Calculate 7×100=700 7 \times 100 = 700 .
  • Step 5: Divide by 35: whole=70035 \text{whole} = \frac{700}{35}
  • Step 6: Simplify the division: whole=20 \text{whole} = 20

Therefore, the whole number when 35% is equal to 7 is 20.

3

Final Answer

20

Practice Quiz

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Calculate 30 over 100 as a percentage:

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