12% of what number is 48?

1 Answer
smendyka
Jan 8, 2017

12% of 400 is 48

Explanation:

"Percent" or "%" means "out of 100" or "per 100", Therefore 12% can be written as #12/100#.

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

Finally, lets call the number we are looking for "n".

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

#12/100 xx n = 48#

#color(red)(100)/color(blue)(12) xx 12/100 xx n = color(red)(100)/color(blue)(12) xx 48#

#cancel(color(red)(100))/cancel(color(blue)(12)) xx color(blue)(cancel(color(black)(12)))/color(red)(cancel(color(black)(100))) xx n = 4800/color(blue)(12)#

#n = 400#

Related questions
See all questions in Percent Equations
Impact of this question
14746 views around the world
You can reuse this answer
Creative Commons License