What is 8.28 percent of 1046.85 - 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 1046.85 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 1046.85 is 100%, so we can write it down as 1046.85=100%.
4. We know, that x is 8.28% of the output value, so we can write it down as x=8.28%.
5. Now we have two simple equations:
1) 1046.85=100%
2) x=8.28%
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:
1046.85/x=100%/8.28%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 8.28% of 1046.85

1046.85/x=100/8.28
(1046.85/x)*x=(100/8.28)*x       - we multiply both sides of the equation by x
1046.85=12.07729468599*x       - we divide both sides of the equation by (12.07729468599) to get x
1046.85/12.07729468599=x
86.67918=x
x=86.67918

now we have:
8.28% of 1046.85=86.67918