110.8 is what percent of 233 - 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 233 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 233, so we can write it down as 100%=233.
4. We know, that x% equals 110.8 of the output value, so we can write it down as x%=110.8.
5. Now we have two simple equations:
1) 100%=233
2) x%=110.8
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%=233/110.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 110.8 is what percent of 233

100%/x%=233/110.8
(100/x)*x=(233/110.8)*x       - we multiply both sides of the equation by x
100=2.1028880866426*x       - we divide both sides of the equation by (2.1028880866426) to get x
100/2.1028880866426=x
47.55364806867=x
x=47.55364806867

now we have:
110.8 is 47.55364806867% of 233