209.16 is what percent of 2909.16 - 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 2909.16 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 2909.16, so we can write it down as 100%=2909.16.
4. We know, that x% equals 209.16 of the output value, so we can write it down as x%=209.16.
5. Now we have two simple equations:
1) 100%=2909.16
2) x%=209.16
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%=2909.16/209.16
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 209.16 is what percent of 2909.16

100%/x%=2909.16/209.16
(100/x)*x=(2909.16/209.16)*x       - we multiply both sides of the equation by x
100=13.908777969019*x       - we divide both sides of the equation by (13.908777969019) to get x
100/13.908777969019=x
7.1897042445242=x
x=7.1897042445242

now we have:
209.16 is 7.1897042445242% of 2909.16