30.8 is what percent of 82 - 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 82 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 82, so we can write it down as 100%=82.
4. We know, that x% equals 30.8 of the output value, so we can write it down as x%=30.8.
5. Now we have two simple equations:
1) 100%=82
2) x%=30.8
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%=82/30.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 30.8 is what percent of 82

100%/x%=82/30.8
(100/x)*x=(82/30.8)*x       - we multiply both sides of the equation by x
100=2.6623376623377*x       - we divide both sides of the equation by (2.6623376623377) to get x
100/2.6623376623377=x
37.560975609756=x
x=37.560975609756

now we have:
30.8 is 37.560975609756% of 82