332.82 is what percent of 3915.5 - 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 3915.5 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 3915.5, so we can write it down as 100%=3915.5.
4. We know, that x% equals 332.82 of the output value, so we can write it down as x%=332.82.
5. Now we have two simple equations:
1) 100%=3915.5
2) x%=332.82
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%=3915.5/332.82
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 332.82 is what percent of 3915.5

100%/x%=3915.5/332.82
(100/x)*x=(3915.5/332.82)*x       - we multiply both sides of the equation by x
100=11.764617510967*x       - we divide both sides of the equation by (11.764617510967) to get x
100/11.764617510967=x
8.500063848806=x
x=8.500063848806

now we have:
332.82 is 8.500063848806% of 3915.5