329.88 is what percent of 3566.37 - 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 3566.37 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 3566.37, so we can write it down as 100%=3566.37.
4. We know, that x% equals 329.88 of the output value, so we can write it down as x%=329.88.
5. Now we have two simple equations:
1) 100%=3566.37
2) x%=329.88
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%=3566.37/329.88
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 329.88 is what percent of 3566.37

100%/x%=3566.37/329.88
(100/x)*x=(3566.37/329.88)*x       - we multiply both sides of the equation by x
100=10.811113132048*x       - we divide both sides of the equation by (10.811113132048) to get x
100/10.811113132048=x
9.2497413336249=x
x=9.2497413336249

now we have:
329.88 is 9.2497413336249% of 3566.37