What is 38.6 percent of 40.2 - 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 40.2 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 40.2 is 100%, so we can write it down as 40.2=100%.
4. We know, that x is 38.6% of the output value, so we can write it down as x=38.6%.
5. Now we have two simple equations:
1) 40.2=100%
2) x=38.6%
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:
40.2/x=100%/38.6%
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 38.6% of 40.2

40.2/x=100/38.6
(40.2/x)*x=(100/38.6)*x       - we multiply both sides of the equation by x
40.2=2.5906735751295*x       - we divide both sides of the equation by (2.5906735751295) to get x
40.2/2.5906735751295=x
15.5172=x
x=15.5172

now we have:
38.6% of 40.2=15.5172