422.94 is what percent of 1396.52 - 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 1396.52 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 1396.52, so we can write it down as 100%=1396.52.
4. We know, that x% equals 422.94 of the output value, so we can write it down as x%=422.94.
5. Now we have two simple equations:
1) 100%=1396.52
2) x%=422.94
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%=1396.52/422.94
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 422.94 is what percent of 1396.52

100%/x%=1396.52/422.94
(100/x)*x=(1396.52/422.94)*x       - we multiply both sides of the equation by x
100=3.3019340804842*x       - we divide both sides of the equation by (3.3019340804842) to get x
100/3.3019340804842=x
30.285280554521=x
x=30.285280554521

now we have:
422.94 is 30.285280554521% of 1396.52