If 12% of x is equal to 6% of y, then 18% of x will be equal to how much percent of y

Question

12% of x = 6% of y  

18% of x = ? 

Answer 1

You can set up a proportion
12 is to 6 as 18 is to x

 

12:6::18:x

12x = 6(18)

12x = 108

x = 9

 

9%

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Or, as Kenneth S. said, since 18 = 1.5(12) then

both sides of .12x = .06y are increased by a

factor of 1.5. so .06(1.5) = .09 = 9%

Answer 2

0.12x = 0.06y

 

Multiply the above fact by 1.5 (on both sides of the equation), to make the 0.12 (a.k.a. 12%) into 18%:

 

0.18x = 0.09y   so 18% OF X is 9% of y.

Answer 3

12% is the same as 12/100 = 0.12

18% is the same as 18/100 = 0.18

 

So you have

 

0.12x = 0.06y

 

y = 0.12/0.06 = 2

 

x = 0.06 / 0.12 = 1/2

 

 

Now we solve for the second part.

 

0.18x = ny

0.18(0.5) = 2n

 

where n is the percent as a decimal.

 

0.09 = 2n

 

0.045 = n

 

4.5%