807.13 is what percent of 3209.87 - 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 3209.87 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 3209.87, so we can write it down as 100%=3209.87.
4. We know, that x% equals 807.13 of the output value, so we can write it down as x%=807.13.
5. Now we have two simple equations:
1) 100%=3209.87
2) x%=807.13
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%=3209.87/807.13
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 807.13 is what percent of 3209.87

100%/x%=3209.87/807.13
(100/x)*x=(3209.87/807.13)*x       - we multiply both sides of the equation by x
100=3.9768934372406*x       - we divide both sides of the equation by (3.9768934372406) to get x
100/3.9768934372406=x
25.145255103789=x
x=25.145255103789

now we have:
807.13 is 25.145255103789% of 3209.87