What is 25.09 percent of 38.36 - 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 38.36 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 38.36 is 100%, so we can write it down as 38.36=100%.
4. We know, that x is 25.09% of the output value, so we can write it down as x=25.09%.
5. Now we have two simple equations:
1) 38.36=100%
2) x=25.09%
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:
38.36/x=100%/25.09%
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 25.09% of 38.36

38.36/x=100/25.09
(38.36/x)*x=(100/25.09)*x       - we multiply both sides of the equation by x
38.36=3.9856516540454*x       - we divide both sides of the equation by (3.9856516540454) to get x
38.36/3.9856516540454=x
9.624524=x
x=9.624524

now we have:
25.09% of 38.36=9.624524