209.4 is what percent of 840.16 - 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 840.16 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 840.16, so we can write it down as 100%=840.16.
4. We know, that x% equals 209.4 of the output value, so we can write it down as x%=209.4.
5. Now we have two simple equations:
1) 100%=840.16
2) x%=209.4
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%=840.16/209.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 209.4 is what percent of 840.16

100%/x%=840.16/209.4
(100/x)*x=(840.16/209.4)*x       - we multiply both sides of the equation by x
100=4.0122254059217*x       - we divide both sides of the equation by (4.0122254059217) to get x
100/4.0122254059217=x
24.923824033517=x
x=24.923824033517

now we have:
209.4 is 24.923824033517% of 840.16