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7 percent of 9 is what percent of 7?

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7 percent of 9 is what percent of 7? [#permalink]  11 Jun 2018, 15:46
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Question Stats:

100% (00:13) correct 0% (00:00) wrong based on 13 sessions
7 percent of 9 is what percent of 7?

[Reveal] Spoiler: OA
9

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Sandy
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Re: 7 percent of 9 is what percent of 7? [#permalink]  12 Jun 2018, 17:40
9
Retired Moderator
Joined: 07 Jun 2014
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Re: 7 percent of 9 is what percent of 7? [#permalink]  13 Jun 2018, 16:38
Expert's post
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.
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Re: 7 percent of 9 is what percent of 7? [#permalink]  13 Jun 2018, 17:23
7%*9 = x%*7
--> x = 9
Re: 7 percent of 9 is what percent of 7?   [#permalink] 13 Jun 2018, 17:23
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