82.18 is what percent of 362.5 - 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 362.5 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 362.5, so we can write it down as 100%=362.5.
4. We know, that x% equals 82.18 of the output value, so we can write it down as x%=82.18.
5. Now we have two simple equations:
1) 100%=362.5
2) x%=82.18
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%=362.5/82.18
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 82.18 is what percent of 362.5

100%/x%=362.5/82.18
(100/x)*x=(362.5/82.18)*x       - we multiply both sides of the equation by x
100=4.4110489170114*x       - we divide both sides of the equation by (4.4110489170114) to get x
100/4.4110489170114=x
22.670344827586=x
x=22.670344827586

now we have:
82.18 is 22.670344827586% of 362.5