82.2 is what percent of 599 - 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 599 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 599, so we can write it down as 100%=599.
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%=599
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%=599/82.2
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 599

100%/x%=599/82.2
(100/x)*x=(599/82.2)*x       - we multiply both sides of the equation by x
100=7.287104622871*x       - we divide both sides of the equation by (7.287104622871) to get x
100/7.287104622871=x
13.722871452421=x
x=13.722871452421

now we have:
82.2 is 13.722871452421% of 599