82 is what percent of 65.9 - 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 65.9 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 65.9, so we can write it down as 100%=65.9.
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%=65.9
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%=65.9/82
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 65.9

100%/x%=65.9/82
(100/x)*x=(65.9/82)*x       - we multiply both sides of the equation by x
100=0.80365853658537*x       - we divide both sides of the equation by (0.80365853658537) to get x
100/0.80365853658537=x
124.43095599393=x
x=124.43095599393

now we have:
82 is 124.43095599393% of 65.9