2836.38 is what percent of 37426.38 - 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 37426.38 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 37426.38, so we can write it down as 100%=37426.38.
4. We know, that x% equals 2836.38 of the output value, so we can write it down as x%=2836.38.
5. Now we have two simple equations:
1) 100%=37426.38
2) x%=2836.38
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%=37426.38/2836.38
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2836.38 is what percent of 37426.38

100%/x%=37426.38/2836.38
(100/x)*x=(37426.38/2836.38)*x       - we multiply both sides of the equation by x
100=13.19512195122*x       - we divide both sides of the equation by (13.19512195122) to get x
100/13.19512195122=x
7.5785582255083=x
x=7.5785582255083

now we have:
2836.38 is 7.5785582255083% of 37426.38