1098.39 is what percent of 11425.16 - 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 11425.16 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 11425.16, so we can write it down as 100%=11425.16.
4. We know, that x% equals 1098.39 of the output value, so we can write it down as x%=1098.39.
5. Now we have two simple equations:
1) 100%=11425.16
2) x%=1098.39
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%=11425.16/1098.39
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1098.39 is what percent of 11425.16

100%/x%=11425.16/1098.39
(100/x)*x=(11425.16/1098.39)*x       - we multiply both sides of the equation by x
100=10.401733446226*x       - we divide both sides of the equation by (10.401733446226) to get x
100/10.401733446226=x
9.6137822139909=x
x=9.6137822139909

now we have:
1098.39 is 9.6137822139909% of 11425.16