1108.71 is what percent of 8188.71 - 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 8188.71 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 8188.71, so we can write it down as 100%=8188.71.
4. We know, that x% equals 1108.71 of the output value, so we can write it down as x%=1108.71.
5. Now we have two simple equations:
1) 100%=8188.71
2) x%=1108.71
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%=8188.71/1108.71
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1108.71 is what percent of 8188.71

100%/x%=8188.71/1108.71
(100/x)*x=(8188.71/1108.71)*x       - we multiply both sides of the equation by x
100=7.3857997131802*x       - we divide both sides of the equation by (7.3857997131802) to get x
100/7.3857997131802=x
13.53949523185=x
x=13.53949523185

now we have:
1108.71 is 13.53949523185% of 8188.71