82 is what percent of 2286 - 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 2286 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 2286, so we can write it down as 100%=2286.
4. We know, that x% equals 82 of the output value, so we can write it down as x%=82.
5. Now we have two simple equations:
1) 100%=2286
2) x%=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%=2286/82
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 82 is what percent of 2286

100%/x%=2286/82
(100/x)*x=(2286/82)*x       - we multiply both sides of the equation by x
100=27.8780487805*x       - we divide both sides of the equation by (27.8780487805) to get x
100/27.8780487805=x
3.58705161855=x
x=3.58705161855

now we have:
82 is 3.58705161855% of 2286