103.82 is what percent of 895 - 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 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, so we can write it down as 100%=895.
4. We know, that x% equals 103.82 of the output value, so we can write it down as x%=103.82.
5. Now we have two simple equations:
1) 100%=895
2) x%=103.82
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%=895/103.82
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 103.82 is what percent of 895

100%/x%=895/103.82
(100/x)*x=(895/103.82)*x       - we multiply both sides of the equation by x
100=8.6206896551724*x       - we divide both sides of the equation by (8.6206896551724) to get x
100/8.6206896551724=x
11.6=x
x=11.6

now we have:
103.82 is 11.6% of 895