323.32 is what percent of 2837.8 - 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 2837.8 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 2837.8, so we can write it down as 100%=2837.8.
4. We know, that x% equals 323.32 of the output value, so we can write it down as x%=323.32.
5. Now we have two simple equations:
1) 100%=2837.8
2) x%=323.32
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%=2837.8/323.32
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 323.32 is what percent of 2837.8

100%/x%=2837.8/323.32
(100/x)*x=(2837.8/323.32)*x       - we multiply both sides of the equation by x
100=8.7770629716689*x       - we divide both sides of the equation by (8.7770629716689) to get x
100/8.7770629716689=x
11.393332863486=x
x=11.393332863486

now we have:
323.32 is 11.393332863486% of 2837.8