9 is what percent of 30?

1 Answer
Dec 26, 2016

Answer:

9 is 30% of 30.

Explanation:

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:

#9 = p/100 xx 30#

#100/30 xx 9 = 100/30 xx p/100 xx 30#

#900/30 = color(red)(cancel(100))/color(blue)(cancel(30)) xx p/color(red)(cancel(100)) xx color(blue)(cancel(30)) #

#30 = p# or #p = 30#