105.5 is what percent of 9501 - 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 9501 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 9501, so we can write it down as 100%=9501.
4. We know, that x% equals 105.5 of the output value, so we can write it down as x%=105.5.
5. Now we have two simple equations:
1) 100%=9501
2) x%=105.5
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%=9501/105.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 105.5 is what percent of 9501

100%/x%=9501/105.5
(100/x)*x=(9501/105.5)*x       - we multiply both sides of the equation by x
100=90.056872037915*x       - we divide both sides of the equation by (90.056872037915) to get x
100/90.056872037915=x
1.1104094305863=x
x=1.1104094305863

now we have:
105.5 is 1.1104094305863% of 9501