What is 40.96 percent of 25.446 - 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 25.446 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 25.446 is 100%, so we can write it down as 25.446=100%.
4. We know, that x is 40.96% of the output value, so we can write it down as x=40.96%.
5. Now we have two simple equations:
1) 25.446=100%
2) x=40.96%
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:
25.446/x=100%/40.96%
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 40.96% of 25.446

25.446/x=100/40.96
(25.446/x)*x=(100/40.96)*x       - we multiply both sides of the equation by x
25.446=2.44140625*x       - we divide both sides of the equation by (2.44140625) to get x
25.446/2.44140625=x
10.4226816=x
x=10.4226816

now we have:
40.96% of 25.446=10.4226816