ExplanationAlways 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 = xIncidentally, 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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Sandy

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