95.25 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 95.25 of the output value, so we can write it down as x%=95.25.
5. Now we have two simple equations:
1) 100%=106
2) x%=95.25
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%=106/95.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 95.25 is what percent of 106

100%/x%=106/95.25
(100/x)*x=(106/95.25)*x       - we multiply both sides of the equation by x
100=1.1128608923885*x       - we divide both sides of the equation by (1.1128608923885) to get x
100/1.1128608923885=x
89.858490566038=x
x=89.858490566038

now we have:
95.25 is 89.858490566038% of 106