108.2 is what percent of 131 - 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 131 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 131, so we can write it down as 100%=131.
4. We know, that x% equals 108.2 of the output value, so we can write it down as x%=108.2.
5. Now we have two simple equations:
1) 100%=131
2) x%=108.2
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%=131/108.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 108.2 is what percent of 131

100%/x%=131/108.2
(100/x)*x=(131/108.2)*x       - we multiply both sides of the equation by x
100=1.2107208872458*x       - we divide both sides of the equation by (1.2107208872458) to get x
100/1.2107208872458=x
82.595419847328=x
x=82.595419847328

now we have:
108.2 is 82.595419847328% of 131