14.66 is what percent of 9 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 9 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 9, so we can write it down as 100%=9.
4. We know, that x% equals 14.66 of the output value, so we can write it down as x%=14.66.
5. Now we have two simple equations:
1) 100%=9
2) x%=14.66
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=9/14.66
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 14.66 is what percent of 9

100%/x%=9/14.66
(100/x)*x=(9/14.66)*x       - we multiply both sides of the equation by x
100=0.61391541609823*x       - we divide both sides of the equation by (0.61391541609823) to get x
100/0.61391541609823=x
162.88888888889=x
x=162.88888888889

now we have:
14.66 is 162.88888888889% of 9