78 is 92% of what?

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78 is 92% of what?

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Answer 1 · 2018-05-09T02:15:59

Approximately $84.78$

Explanation:

$92%$ can be expressed by the decimal number $.92$ . The word "of" in the question means you are multiplying, so the question is really asking, $.92$ times what number equals 78? To solve this algebraically, we will use the variable $x$ to represent the unknown number:

$.92 * x = 78 | .92x = 78$

To solve for $x$ , all we need to do is divide each side by the coefficient of $x$ , or the number by which the variable is multiplied, to get the variable by itself:

$(.92x)/.92 = 78/.92 | x = 84.7826...$

Note that I rounded the answer to 2 decimal places. Normally, you should follow any specific rounding instructions given on the test, but if none are given, it is generally acceptable to round to the hundredths digit.

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78 is 92% of what?

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