82.2 is what percent of 230 - 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 230 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 230, so we can write it down as 100%=230.
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%=230
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%=230/82.2
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 230

100%/x%=230/82.2
(100/x)*x=(230/82.2)*x       - we multiply both sides of the equation by x
100=2.7980535279805*x       - we divide both sides of the equation by (2.7980535279805) to get x
100/2.7980535279805=x
35.739130434783=x
x=35.739130434783

now we have:
82.2 is 35.739130434783% of 230