What is 36.19 percent of 38.5 - 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 38.5 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 38.5 is 100%, so we can write it down as 38.5=100%.
4. We know, that x is 36.19% of the output value, so we can write it down as x=36.19%.
5. Now we have two simple equations:
1) 38.5=100%
2) x=36.19%
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:
38.5/x=100%/36.19%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 36.19% of 38.5

38.5/x=100/36.19
(38.5/x)*x=(100/36.19)*x       - we multiply both sides of the equation by x
38.5=2.763194252556*x       - we divide both sides of the equation by (2.763194252556) to get x
38.5/2.763194252556=x
13.93315=x
x=13.93315

now we have:
36.19% of 38.5=13.93315