9.51 is what percent of 9 - 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 9 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 9, so we can write it down as 100%=9.
4. We know, that x% equals 9.51 of the output value, so we can write it down as x%=9.51.
5. Now we have two simple equations:
1) 100%=9
2) x%=9.51
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%=9/9.51
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 9.51 is what percent of 9

100%/x%=9/9.51
(100/x)*x=(9/9.51)*x       - we multiply both sides of the equation by x
100=0.94637223974763*x       - we divide both sides of the equation by (0.94637223974763) to get x
100/0.94637223974763=x
105.66666666667=x
x=105.66666666667

now we have:
9.51 is 105.66666666667% of 9