105.06 is what percent of 110.94 - 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 110.94 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 110.94, so we can write it down as 100%=110.94.
4. We know, that x% equals 105.06 of the output value, so we can write it down as x%=105.06.
5. Now we have two simple equations:
1) 100%=110.94
2) x%=105.06
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%=110.94/105.06
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 105.06 is what percent of 110.94

100%/x%=110.94/105.06
(100/x)*x=(110.94/105.06)*x       - we multiply both sides of the equation by x
100=1.0559680182753*x       - we divide both sides of the equation by (1.0559680182753) to get x
100/1.0559680182753=x
94.699837750135=x
x=94.699837750135

now we have:
105.06 is 94.699837750135% of 110.94