10.78 is what percent of 9.16 - 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 9.16 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 9.16, so we can write it down as 100%=9.16.
4. We know, that x% equals 10.78 of the output value, so we can write it down as x%=10.78.
5. Now we have two simple equations:
1) 100%=9.16
2) x%=10.78
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%=9.16/10.78
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 10.78 is what percent of 9.16

100%/x%=9.16/10.78
(100/x)*x=(9.16/10.78)*x       - we multiply both sides of the equation by x
100=0.84972170686456*x       - we divide both sides of the equation by (0.84972170686456) to get x
100/0.84972170686456=x
117.68558951965=x
x=117.68558951965

now we have:
10.78 is 117.68558951965% of 9.16