What is 10.22 percent of 25.55 - 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 25.55 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 25.55 is 100%, so we can write it down as 25.55=100%.
4. We know, that x is 10.22% of the output value, so we can write it down as x=10.22%.
5. Now we have two simple equations:
1) 25.55=100%
2) x=10.22%
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:
25.55/x=100%/10.22%
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 10.22% of 25.55

25.55/x=100/10.22
(25.55/x)*x=(100/10.22)*x       - we multiply both sides of the equation by x
25.55=9.7847358121331*x       - we divide both sides of the equation by (9.7847358121331) to get x
25.55/9.7847358121331=x
2.61121=x
x=2.61121

now we have:
10.22% of 25.55=2.61121