10.8 is what percent of 22.1 - 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 22.1 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 22.1, so we can write it down as 100%=22.1.
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%=22.1
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%=22.1/10.8
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 22.1

100%/x%=22.1/10.8
(100/x)*x=(22.1/10.8)*x       - we multiply both sides of the equation by x
100=2.0462962962963*x       - we divide both sides of the equation by (2.0462962962963) to get x
100/2.0462962962963=x
48.868778280543=x
x=48.868778280543

now we have:
10.8 is 48.868778280543% of 22.1