209.5 is what percent of 2415 - 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 2415 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 2415, so we can write it down as 100%=2415.
4. We know, that x% equals 209.5 of the output value, so we can write it down as x%=209.5.
5. Now we have two simple equations:
1) 100%=2415
2) x%=209.5
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%=2415/209.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 209.5 is what percent of 2415

100%/x%=2415/209.5
(100/x)*x=(2415/209.5)*x       - we multiply both sides of the equation by x
100=11.527446300716*x       - we divide both sides of the equation by (11.527446300716) to get x
100/11.527446300716=x
8.6749482401656=x
x=8.6749482401656

now we have:
209.5 is 8.6749482401656% of 2415