209.5 is what percent of 40 - 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 40 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 40, so we can write it down as 100%=40.
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%=40
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%=40/209.5
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 40

100%/x%=40/209.5
(100/x)*x=(40/209.5)*x       - we multiply both sides of the equation by x
100=0.190930787589*x       - we divide both sides of the equation by (0.190930787589) to get x
100/0.190930787589=x
523.75=x
x=523.75

now we have:
209.5 is 523.75% of 40