54 is 30% of what?

1 Answer
smendyka
Feb 10, 2017

54 is 30% of 180

Explanation:

"Percent" or "%" means "out of 100" or "per 100", Therefore 30% can be written as #30/100#.

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:

#54 = 30/100 xx n#

#color(red)(100)/color(blue)(30) xx 54 = color(red)(100)/color(blue)(30) xx 30/100 xx n#

#5400/color(blue)(30) = cancel(color(red)(100))/cancel(color(blue)(30)) xx color(blue)(cancel(color(black)(30)))/color(red)(cancel(color(black)(100))) xx n#

#180 = n#

#n = 180#

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