What percent of 120 is 66?

1 Answer
smendyka
Jan 26, 2017

55% of 120 is 66

Explanation:

First, lets call the percent we are looking for "p".

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

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

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

#p/100 xx 120 = 66#

#color(red)(100)/color(blue)(120) xx p/100 xx 120 = color(red)(100)/color(blue)(120) xx 66#

#cancel(color(red)(100))/cancel(color(blue)(120)) xx p/color(red)(cancel(color(black)(100))) xx color(blue)(cancel(color(black)(120))) = 6600/color(blue)(120)#

#p = 6600/120#

#p = 55#

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