Question #bb7e3

1 Answer
Jan 15, 2017

55 is 22% of 250

Explanation:

Let's call the percentage 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:

#55 = p/100 xx 250#

#color(red)(100)/color(blue)(250) xx 55 = color(red)(100)/color(blue)(250) xx p/100 xx 250#

#5500/color(blue)(250) = cancel(color(red)(100))/cancel(color(blue)(250)) xx p/color(red)(cancel(color(black)(100))) xx color(blue)(cancel(color(black)(250)))#

#22 = p#