SOLUTION: if x is 90% of y . what percent of x is y ?

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: if x is 90% of y . what percent of x is y ?      Log On


   

Question 183643: if x is 90% of y . what percent of x is y ?
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
if x is 90% of y . what percent of x is y ?
.
Since "x is 90% of y" is
x = .90y (equation 1)
.
And, from
"what percent of x is y"
100y/x (equation 2)
.
Substitute of the definition of 'x' from equation 1 into equation 2:
100y/x
100y/(.90y)
100/.90
111.11%