What is 11.63 percent of 3.8 - 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 3.8 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 3.8 is 100%, so we can write it down as 3.8=100%.
4. We know, that x is 11.63% of the output value, so we can write it down as x=11.63%.
5. Now we have two simple equations:
1) 3.8=100%
2) x=11.63%
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:
3.8/x=100%/11.63%
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 11.63% of 3.8

3.8/x=100/11.63
(3.8/x)*x=(100/11.63)*x       - we multiply both sides of the equation by x
3.8=8.5984522785899*x       - we divide both sides of the equation by (8.5984522785899) to get x
3.8/8.5984522785899=x
0.44194=x
x=0.44194

now we have:
11.63% of 3.8=0.44194