# 78 is 92% of what?

May 9, 2018

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:

$.92 \cdot x = 78 | .92 x = 78$

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:

$\frac{.92 x}{.92} = \frac{78}{.92} | x = 84.7826 \ldots$

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.