118.31 is what percent of 895.44 - 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 895.44 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 895.44, so we can write it down as 100%=895.44.
4. We know, that x% equals 118.31 of the output value, so we can write it down as x%=118.31.
5. Now we have two simple equations:
1) 100%=895.44
2) x%=118.31
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%=895.44/118.31
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 118.31 is what percent of 895.44

100%/x%=895.44/118.31
(100/x)*x=(895.44/118.31)*x       - we multiply both sides of the equation by x
100=7.5685909897726*x       - we divide both sides of the equation by (7.5685909897726) to get x
100/7.5685909897726=x
13.212498883231=x
x=13.212498883231

now we have:
118.31 is 13.212498883231% of 895.44