What is 38.63 percent of 29.75 - 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 29.75 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 29.75 is 100%, so we can write it down as 29.75=100%.
4. We know, that x is 38.63% of the output value, so we can write it down as x=38.63%.
5. Now we have two simple equations:
1) 29.75=100%
2) x=38.63%
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:
29.75/x=100%/38.63%
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 38.63% of 29.75

29.75/x=100/38.63
(29.75/x)*x=(100/38.63)*x       - we multiply both sides of the equation by x
29.75=2.5886616619208*x       - we divide both sides of the equation by (2.5886616619208) to get x
29.75/2.5886616619208=x
11.492425=x
x=11.492425

now we have:
38.63% of 29.75=11.492425