11.97 is what percent of 31.96 - 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 31.96 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 31.96, so we can write it down as 100%=31.96.
4. We know, that x% equals 11.97 of the output value, so we can write it down as x%=11.97.
5. Now we have two simple equations:
1) 100%=31.96
2) x%=11.97
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%=31.96/11.97
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 11.97 is what percent of 31.96

100%/x%=31.96/11.97
(100/x)*x=(31.96/11.97)*x       - we multiply both sides of the equation by x
100=2.6700083542189*x       - we divide both sides of the equation by (2.6700083542189) to get x
100/2.6700083542189=x
37.453066332916=x
x=37.453066332916

now we have:
11.97 is 37.453066332916% of 31.96