What is 38.61 percent of 20.2 - 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 20.2 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 20.2 is 100%, so we can write it down as 20.2=100%.
4. We know, that x is 38.61% of the output value, so we can write it down as x=38.61%.
5. Now we have two simple equations:
1) 20.2=100%
2) x=38.61%
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:
20.2/x=100%/38.61%
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 38.61% of 20.2

20.2/x=100/38.61
(20.2/x)*x=(100/38.61)*x       - we multiply both sides of the equation by x
20.2=2.5900025900026*x       - we divide both sides of the equation by (2.5900025900026) to get x
20.2/2.5900025900026=x
7.79922=x
x=7.79922

now we have:
38.61% of 20.2=7.79922