10.8 is what percent of 22.45 - 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 22.45 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 22.45, so we can write it down as 100%=22.45.
4. We know, that x% equals 10.8 of the output value, so we can write it down as x%=10.8.
5. Now we have two simple equations:
1) 100%=22.45
2) x%=10.8
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%=22.45/10.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 10.8 is what percent of 22.45

100%/x%=22.45/10.8
(100/x)*x=(22.45/10.8)*x       - we multiply both sides of the equation by x
100=2.0787037037037*x       - we divide both sides of the equation by (2.0787037037037) to get x
100/2.0787037037037=x
48.106904231626=x
x=48.106904231626

now we have:
10.8 is 48.106904231626% of 22.45