Calculate Survey Completion: Finding Percentage of 35 out of 49 Responses

Question

Dan is doing a project in which he must conduct a survey among 49 people.

So far, 35 people have responded to the survey.

Approximately what percentage of the project has Dan completed?

Step-by-Step Solution

To determine the percentage of the project that Dan has completed, we'll perform the following steps:

  • Step 1: Recognize the total number of survey responses that Dan has received: 35 out of 49.
  • Step 2: Apply the percentage formula: Percentage Completed=(3549)×100%\text{Percentage Completed} = \left(\frac{35}{49}\right) \times 100\%.
  • Step 3: Calculate the fraction: 3549=0.7142857\frac{35}{49} = 0.7142857 (approximate).
  • Step 4: Convert this decimal to a percentage: 0.7142857×10071.42857%0.7142857 \times 100 \approx 71.42857\%.
  • Step 5: Round the result if necessary to obtain a whole number percentage. In this case, 71.42857%71.42857\% rounds to 71%71\%.

Therefore, the approximate percentage of the project that Dan has completed is 71%\textbf{71\%}.

Answer

71%


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