80 us 56% of what number?

1 Answer
Dec 1, 2016

Answer:

80 is 56% of 142.9 rounded to the nearest 10th

Explanation:

First, when converting from a word problem to a math problem the word "is" is the same as equals or #=#.

"Percent" or "%" means "out of 100" or "per 100", Therefore 56% can be written as #56/100#.

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

Then, we can make "what" be or variable, let's call it #n#.

Putting this all together gives:

#80 = 56/100 xx n#

Solving this equation gives:

#100/56 xx 80 = 100/56 xx 56/100 xx n#

#8000/56 = cancel(100)/cancel(56) xx cancel(56)/cancel(100) xx n#

#142.9 = n# rounded to the nearest 10th