10.08 is what percent of 40.44 - 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 40.44 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 100% equals 40.44, so we can write it down as 100%=40.44.
4. We know, that x% equals 10.08 of the output value, so we can write it down as x%=10.08.
5. Now we have two simple equations:
1) 100%=40.44
2) x%=10.08
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:
100%/x%=40.44/10.08
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 10.08 is what percent of 40.44

100%/x%=40.44/10.08
(100/x)*x=(40.44/10.08)*x       - we multiply both sides of the equation by x
100=4.0119047619048*x       - we divide both sides of the equation by (4.0119047619048) to get x
100/4.0119047619048=x
24.925816023739=x
x=24.925816023739

now we have:
10.08 is 24.925816023739% of 40.44