What is 25.48 percent of 38.27 - 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 38.27 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 38.27 is 100%, so we can write it down as 38.27=100%.
4. We know, that x is 25.48% of the output value, so we can write it down as x=25.48%.
5. Now we have two simple equations:
1) 38.27=100%
2) x=25.48%
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:
38.27/x=100%/25.48%
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 25.48% of 38.27

38.27/x=100/25.48
(38.27/x)*x=(100/25.48)*x       - we multiply both sides of the equation by x
38.27=3.9246467817896*x       - we divide both sides of the equation by (3.9246467817896) to get x
38.27/3.9246467817896=x
9.751196=x
x=9.751196

now we have:
25.48% of 38.27=9.751196