1160.8 is what percent of 8340 - 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 8340 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 8340, so we can write it down as 100%=8340.
4. We know, that x% equals 1160.8 of the output value, so we can write it down as x%=1160.8.
5. Now we have two simple equations:
1) 100%=8340
2) x%=1160.8
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%=8340/1160.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1160.8 is what percent of 8340

100%/x%=8340/1160.8
(100/x)*x=(8340/1160.8)*x       - we multiply both sides of the equation by x
100=7.184700206754*x       - we divide both sides of the equation by (7.184700206754) to get x
100/7.184700206754=x
13.918465227818=x
x=13.918465227818

now we have:
1160.8 is 13.918465227818% of 8340