9.45 is what percent of 105.75 - 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 105.75 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 105.75, so we can write it down as 100%=105.75.
4. We know, that x% equals 9.45 of the output value, so we can write it down as x%=9.45.
5. Now we have two simple equations:
1) 100%=105.75
2) x%=9.45
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%=105.75/9.45
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 9.45 is what percent of 105.75

100%/x%=105.75/9.45
(100/x)*x=(105.75/9.45)*x       - we multiply both sides of the equation by x
100=11.190476190476*x       - we divide both sides of the equation by (11.190476190476) to get x
100/11.190476190476=x
8.936170212766=x
x=8.936170212766

now we have:
9.45 is 8.936170212766% of 105.75