103.96 is what percent of 2806.92 - 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 2806.92 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 2806.92, so we can write it down as 100%=2806.92.
4. We know, that x% equals 103.96 of the output value, so we can write it down as x%=103.96.
5. Now we have two simple equations:
1) 100%=2806.92
2) x%=103.96
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%=2806.92/103.96
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 103.96 is what percent of 2806.92

100%/x%=2806.92/103.96
(100/x)*x=(2806.92/103.96)*x       - we multiply both sides of the equation by x
100=27*x       - we divide both sides of the equation by (27) to get x
100/27=x
3.7037037037037=x
x=3.7037037037037

now we have:
103.96 is 3.7037037037037% of 2806.92