9 is what percent of 329 - 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 329 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 329, so we can write it down as 100%=329.
4. We know, that x% equals 9 of the output value, so we can write it down as x%=9.
5. Now we have two simple equations:
1) 100%=329
2) x%=9
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%=329/9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 9 is what percent of 329

100%/x%=329/9
(100/x)*x=(329/9)*x       - we multiply both sides of the equation by x
100=36.555555555556*x       - we divide both sides of the equation by (36.555555555556) to get x
100/36.555555555556=x
2.7355623100304=x
x=2.7355623100304

now we have:
9 is 2.7355623100304% of 329