3511.88 is what percent of 3355.38 - 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 3355.38 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 3355.38, so we can write it down as 100%=3355.38.
4. We know, that x% equals 3511.88 of the output value, so we can write it down as x%=3511.88.
5. Now we have two simple equations:
1) 100%=3355.38
2) x%=3511.88
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%=3355.38/3511.88
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3511.88 is what percent of 3355.38

100%/x%=3355.38/3511.88
(100/x)*x=(3355.38/3511.88)*x       - we multiply both sides of the equation by x
100=0.95543697392849*x       - we divide both sides of the equation by (0.95543697392849) to get x
100/0.95543697392849=x
104.66415130328=x
x=104.66415130328

now we have:
3511.88 is 104.66415130328% of 3355.38