0.11% of what number is 3.3?

1 Answer
Sep 29, 2016

3000

Explanation:

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#.

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

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

#.0011# of #x# is #3.3#

If we say, for example, one half of 4 is 2, then we are multiplying #1/2 * 4# and equating it to #2#.

Using a similar "translation" for our problem,

#.0011*x = 3.3#

Divide both sides by #.0011#

#x = 3.3/.0011 = 3000#