106.81 is what percent of 2000 - 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 2000 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 2000, so we can write it down as 100%=2000.
4. We know, that x% equals 106.81 of the output value, so we can write it down as x%=106.81.
5. Now we have two simple equations:
1) 100%=2000
2) x%=106.81
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%=2000/106.81
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 106.81 is what percent of 2000

100%/x%=2000/106.81
(100/x)*x=(2000/106.81)*x       - we multiply both sides of the equation by x
100=18.724838498268*x       - we divide both sides of the equation by (18.724838498268) to get x
100/18.724838498268=x
5.3405=x
x=5.3405

now we have:
106.81 is 5.3405% of 2000