What percent of 180 is 120?

2 Answers
smendyka
Apr 30, 2017

See the solution process below:

Explanation:

First, let's 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 180 = 120#

#color(red)(100)/color(blue)(180) * p/100 xx 180 = color(red)(100)/color(blue)(180) * 120#

#cancel(color(red)(100))/cancel(color(blue)(180)) * p/color(red)(cancel(color(black)(100))) xx color(blue)(cancel(color(black)(180))) = 12000/color(blue)(180)#

#p = 66.bar6#

120 is #66.bar6#% or #66 2/3%# of 180.

Courtney G. · Monzur R. · EZ as pi
Apr 30, 2017

#66.bar6%#

Explanation:

You take #120# over #180# and times it by #100%# to get the percentage.

#(120/180)=0.bar6#

#0.bar6 xx 100%=66.bar6%#

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