11.9 is what percent of 31.4 - 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 31.4 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 31.4, so we can write it down as 100%=31.4.
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%=31.4
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%=31.4/11.9
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 31.4

100%/x%=31.4/11.9
(100/x)*x=(31.4/11.9)*x       - we multiply both sides of the equation by x
100=2.6386554621849*x       - we divide both sides of the equation by (2.6386554621849) to get x
100/2.6386554621849=x
37.898089171975=x
x=37.898089171975

now we have:
11.9 is 37.898089171975% of 31.4