94.56 is what percent of 106 - 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 106 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 106, so we can write it down as 100%=106.
4. We know, that x% equals 94.56 of the output value, so we can write it down as x%=94.56.
5. Now we have two simple equations:
1) 100%=106
2) x%=94.56
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%=106/94.56
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 94.56 is what percent of 106

100%/x%=106/94.56
(100/x)*x=(106/94.56)*x       - we multiply both sides of the equation by x
100=1.1209813874788*x       - we divide both sides of the equation by (1.1209813874788) to get x
100/1.1209813874788=x
89.207547169811=x
x=89.207547169811

now we have:
94.56 is 89.207547169811% of 106