4 1/2% of what number is 90?

1 Answer
smendyka
Jan 18, 2017

#4 1/2%# of 2000 is 90

Explanation:

"Percent" or "%" means "out of 100" or "per 100", Therefore #4 1/2%# is #4.5%# which can be written as #4.5/100#.

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:

#4.5/100 xx n = 90#

#color(red)(100)/color(blue)(4.5) xx 4.5/100 xx n = color(red)(100)/color(blue)(4.5) xx 90#

#cancel(color(red)(100))/cancel(color(blue)(4.5)) xx color(blue)(cancel(color(red)(4.5)))/color(red)(cancel(color(black)(100))) xx n = 9000/color(blue)(4.5)#

#n = 2000#

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