82.2 is what percent of 100 - 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 100 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 100, so we can write it down as 100%=100.
4. We know, that x% equals 82.2 of the output value, so we can write it down as x%=82.2.
5. Now we have two simple equations:
1) 100%=100
2) x%=82.2
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%=100/82.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 82.2 is what percent of 100

100%/x%=100/82.2
(100/x)*x=(100/82.2)*x       - we multiply both sides of the equation by x
100=1.2165450121655*x       - we divide both sides of the equation by (1.2165450121655) to get x
100/1.2165450121655=x
82.2=x
x=82.2

now we have:
82.2 is 82.2% of 100