108.44 is what percent of 1116.51 - 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 1116.51 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 1116.51, so we can write it down as 100%=1116.51.
4. We know, that x% equals 108.44 of the output value, so we can write it down as x%=108.44.
5. Now we have two simple equations:
1) 100%=1116.51
2) x%=108.44
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%=1116.51/108.44
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 108.44 is what percent of 1116.51

100%/x%=1116.51/108.44
(100/x)*x=(1116.51/108.44)*x       - we multiply both sides of the equation by x
100=10.296108447068*x       - we divide both sides of the equation by (10.296108447068) to get x
100/10.296108447068=x
9.7124074123832=x
x=9.7124074123832

now we have:
108.44 is 9.7124074123832% of 1116.51