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7 percent of 9 is what percent of 7?
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11 Jun 2018, 15:46
11 Jun 2018, 15:46
Expert Reply
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Question Stats:
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Intern
Joined: 07 Jun 2018
Posts: 3
Given Kudos: 0
GRE 1: Q160 V150
Re: 7 percent of 9 is what percent of 7?
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13 Jun 2018, 16:38
13 Jun 2018, 16:38
Expert Reply
Explanation
Always translate the phrase “what percent” as \(\frac{x}{100}\).
Translate the question as:
\(0.07(9) = \frac{x}{100}(7)\)
\(0.63 =\frac{7x}{100}\)
\(63 = 7x\)
9 = x
Incidentally, the pattern “x percent of y = y percent of x” always holds true! Here, 7% of 9 = 9% of 7, but it is also true that 2% of 57 = 57% of 2, etc. This works with any two numbers. If you notice this, then you can “fill in the blank” on the answer immediately: “what percent” must be 9%.
Finally, notice that the answer is 9 and not 0.09 or 9%. The question asks “what percent,” so the percent is already incorporated into the sentence—the “what” by itself represents only the number itself, 9.
Always translate the phrase “what percent” as \(\frac{x}{100}\).
Translate the question as:
\(0.07(9) = \frac{x}{100}(7)\)
\(0.63 =\frac{7x}{100}\)
\(63 = 7x\)
9 = x
Incidentally, the pattern “x percent of y = y percent of x” always holds true! Here, 7% of 9 = 9% of 7, but it is also true that 2% of 57 = 57% of 2, etc. This works with any two numbers. If you notice this, then you can “fill in the blank” on the answer immediately: “what percent” must be 9%.
Finally, notice that the answer is 9 and not 0.09 or 9%. The question asks “what percent,” so the percent is already incorporated into the sentence—the “what” by itself represents only the number itself, 9.
