11.7 is what percent of 31.5 - 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 31.5 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 31.5, so we can write it down as 100%=31.5.
4. We know, that x% equals 11.7 of the output value, so we can write it down as x%=11.7.
5. Now we have two simple equations:
1) 100%=31.5
2) x%=11.7
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%=31.5/11.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 11.7 is what percent of 31.5

100%/x%=31.5/11.7
(100/x)*x=(31.5/11.7)*x       - we multiply both sides of the equation by x
100=2.6923076923077*x       - we divide both sides of the equation by (2.6923076923077) to get x
100/2.6923076923077=x
37.142857142857=x
x=37.142857142857

now we have:
11.7 is 37.142857142857% of 31.5