What is 38.83 percent of 24.25 - 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 24.25 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 24.25 is 100%, so we can write it down as 24.25=100%.
4. We know, that x is 38.83% of the output value, so we can write it down as x=38.83%.
5. Now we have two simple equations:
1) 24.25=100%
2) x=38.83%
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:
24.25/x=100%/38.83%
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 38.83% of 24.25

24.25/x=100/38.83
(24.25/x)*x=(100/38.83)*x       - we multiply both sides of the equation by x
24.25=2.5753283543652*x       - we divide both sides of the equation by (2.5753283543652) to get x
24.25/2.5753283543652=x
9.416275=x
x=9.416275

now we have:
38.83% of 24.25=9.416275