122.22 is what percent of 4223.9 - 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 4223.9 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 4223.9, so we can write it down as 100%=4223.9.
4. We know, that x% equals 122.22 of the output value, so we can write it down as x%=122.22.
5. Now we have two simple equations:
1) 100%=4223.9
2) x%=122.22
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%=4223.9/122.22
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 122.22 is what percent of 4223.9

100%/x%=4223.9/122.22
(100/x)*x=(4223.9/122.22)*x       - we multiply both sides of the equation by x
100=34.559810178367*x       - we divide both sides of the equation by (34.559810178367) to get x
100/34.559810178367=x
2.893534411326=x
x=2.893534411326

now we have:
122.22 is 2.893534411326% of 4223.9