1088.64 is what percent of 3858.57 - 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 3858.57 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 3858.57, so we can write it down as 100%=3858.57.
4. We know, that x% equals 1088.64 of the output value, so we can write it down as x%=1088.64.
5. Now we have two simple equations:
1) 100%=3858.57
2) x%=1088.64
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%=3858.57/1088.64
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1088.64 is what percent of 3858.57

100%/x%=3858.57/1088.64
(100/x)*x=(3858.57/1088.64)*x       - we multiply both sides of the equation by x
100=3.5443948412698*x       - we divide both sides of the equation by (3.5443948412698) to get x
100/3.5443948412698=x
28.213560982437=x
x=28.213560982437

now we have:
1088.64 is 28.213560982437% of 3858.57