82 is what percent of 3090 - 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 3090 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 3090, so we can write it down as 100%=3090.
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%=3090
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%=3090/82
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 3090

100%/x%=3090/82
(100/x)*x=(3090/82)*x       - we multiply both sides of the equation by x
100=37.682926829268*x       - we divide both sides of the equation by (37.682926829268) to get x
100/37.682926829268=x
2.6537216828479=x
x=2.6537216828479

now we have:
82 is 2.6537216828479% of 3090