82 is what percent of 1342 - 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 1342 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 1342, so we can write it down as 100%=1342.
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%=1342
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%=1342/82
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 1342

100%/x%=1342/82
(100/x)*x=(1342/82)*x       - we multiply both sides of the equation by x
100=16.365853658537*x       - we divide both sides of the equation by (16.365853658537) to get x
100/16.365853658537=x
6.1102831594635=x
x=6.1102831594635

now we have:
82 is 6.1102831594635% of 1342