102.22 is what percent of 189.5 - 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 189.5 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 189.5, so we can write it down as 100%=189.5.
4. We know, that x% equals 102.22 of the output value, so we can write it down as x%=102.22.
5. Now we have two simple equations:
1) 100%=189.5
2) x%=102.22
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%=189.5/102.22
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 102.22 is what percent of 189.5

100%/x%=189.5/102.22
(100/x)*x=(189.5/102.22)*x       - we multiply both sides of the equation by x
100=1.8538446487967*x       - we divide both sides of the equation by (1.8538446487967) to get x
100/1.8538446487967=x
53.941952506596=x
x=53.941952506596

now we have:
102.22 is 53.941952506596% of 189.5