11.9 is what percent of 208.8 - 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 208.8 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 208.8, so we can write it down as 100%=208.8.
4. We know, that x% equals 11.9 of the output value, so we can write it down as x%=11.9.
5. Now we have two simple equations:
1) 100%=208.8
2) x%=11.9
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%=208.8/11.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 11.9 is what percent of 208.8

100%/x%=208.8/11.9
(100/x)*x=(208.8/11.9)*x       - we multiply both sides of the equation by x
100=17.546218487395*x       - we divide both sides of the equation by (17.546218487395) to get x
100/17.546218487395=x
5.6992337164751=x
x=5.6992337164751

now we have:
11.9 is 5.6992337164751% of 208.8