16 is what percent of 64?

1 Answer
Dec 6, 2016

Answer:

16 is 25% of 64.

Explanation:

Let's call the number we are looking for #x#,

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

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

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

#16 = x/100 xx 64#

#16 = (64x)/100#

#16 100/64 = 100/64 (64x)/100#

#1600/64 = 100/64 (64x)/100#

#25 = cancel(100)/cancel(64) (cancel(64)x)/cancel(100)#

#x = 25#