61.7% of what number is 407.38? (nearest whole number)Use the percentage formula.

Question

Quizplus · Accepted Answer

Let's use the percentage formula:
part/whole * 100 = percentage
We know that the percentage is 61.7% and the part is 407.38. We need to find the whole number, which we'll call "x". So we have:
407.38/x * 100 = 61.7%
To solve for x, we can start by dividing both sides by 100:
4.0738/x = 0.617
Next, we can multiply both sides by x:
4.0738 = 0.617x
Finally, we can divide both sides by 0.617 to isolate x:
x = 4.0738/0.617
x = 6.6 (rounded to one decimal place)
So the closest whole number to 6.6 is 7. Therefore, 61.7% of 7 is approximately 4.33. Checking our work:
7 * 0.617 = 4.319 (rounded to three decimal places)
So 61.7% of 660 is approximately 407.38, and the best choice is D.

617% of What Number Is 407