What is 48.1 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 48.1% of the output value, so we can write it down as x=48.1%.
5. Now we have two simple equations:
1) 38.5=100%
2) x=48.1%
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%/48.1%
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 48.1% of 38.5

38.5/x=100/48.1
(38.5/x)*x=(100/48.1)*x       - we multiply both sides of the equation by x
38.5=2.0790020790021*x       - we divide both sides of the equation by (2.0790020790021) to get x
38.5/2.0790020790021=x
18.5185=x
x=18.5185

now we have:
48.1% of 38.5=18.5185