395.2 is what percent of 322.2 - 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 322.2 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 322.2, so we can write it down as 100%=322.2.
4. We know, that x% equals 395.2 of the output value, so we can write it down as x%=395.2.
5. Now we have two simple equations:
1) 100%=322.2
2) x%=395.2
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%=322.2/395.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 395.2 is what percent of 322.2

100%/x%=322.2/395.2
(100/x)*x=(322.2/395.2)*x       - we multiply both sides of the equation by x
100=0.81528340080972*x       - we divide both sides of the equation by (0.81528340080972) to get x
100/0.81528340080972=x
122.65673494724=x
x=122.65673494724

now we have:
395.2 is 122.65673494724% of 322.2