What percent of 200 is 340?

2 Answers

Let x be that percent hence

#340*x%=200#

#340*x/100=200#

#3.4*x=200#

#x=200/3.4#

#x=58.8235294118#

Hence

#200# is #58.8235294118%# of #340#

Jan 29, 2017

170% of 200 = 340

Explanation:

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 200 = 340#

#color(red)(100)/color(blue)(200) xx p/100 xx 200 = color(red)(100)/color(blue)(200) xx 340#

#cancel(color(red)(100))/cancel(color(blue)(200)) xx p/color(red)(cancel(color(black)(100))) xx color(blue)(cancel(color(black)(200))) = 34000/color(blue)(200)#

#p = 170#