13.8 is what percent of 36.7 - 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 36.7 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 36.7, so we can write it down as 100%=36.7.
4. We know, that x% equals 13.8 of the output value, so we can write it down as x%=13.8.
5. Now we have two simple equations:
1) 100%=36.7
2) x%=13.8
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%=36.7/13.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 13.8 is what percent of 36.7

100%/x%=36.7/13.8
(100/x)*x=(36.7/13.8)*x       - we multiply both sides of the equation by x
100=2.6594202898551*x       - we divide both sides of the equation by (2.6594202898551) to get x
100/2.6594202898551=x
37.602179836512=x
x=37.602179836512

now we have:
13.8 is 37.602179836512% of 36.7