11 3/4% of 6000 is what number?

1 Answer
Dec 23, 2016

11 3/4% of 6000 is 705

Explanation:

First, we need to change #11 3/4# to decimal for or #11.75#

Now we can restate the problem as:

11.75% of 6000 is what number?

"Percent" or "%" means "out of 100" or "per 100", Therefore 11.75% can be written as #11.75/100#.

When dealing with percents the word "of" means "times" or "to multiply".

Finally, lets call the number we are looking for "n".

Putting this altogether we can write this equation and solve for #n# while keeping the equation balanced:

#n = 11.75/100 xx 6000#

#n = 70500/100#

#n = 705#