0.11% of what number is 3.3?

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Answer 1 · 2016-09-29T05:13:19

3000

We must first convert the statement from words to an equation, and then proceed to solve the equation.

We will call the "what number" we are seeking $x$ $x$ .

Thus, $.11 %$ $.11%$ of $x$ $x$ is $3.3$ $3.3$

Converting $.11 %$ $.11%$ to a proportion by dividing by 100%, we get:

$.0011$ $.0011$ of $x$ $x$ is $3.3$ $3.3$

If we say, for example, one half of 4 is 2, then we are multiplying $\frac{1}{2} \cdot 4$ $1/2 * 4$ and equating it to $2$ $2$ .

Using a similar "translation" for our problem,

$.0011 \cdot x = 3.3$ $.0011*x = 3.3$

Divide both sides by $.0011$ $.0011$

$x = \frac{3.3}{.0011} = 3000$ $x = 3.3/.0011 = 3000$