122.49 is what percent of 209.49 - 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 209.49 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 209.49, so we can write it down as 100%=209.49.
4. We know, that x% equals 122.49 of the output value, so we can write it down as x%=122.49.
5. Now we have two simple equations:
1) 100%=209.49
2) x%=122.49
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%=209.49/122.49
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 122.49 is what percent of 209.49

100%/x%=209.49/122.49
(100/x)*x=(209.49/122.49)*x       - we multiply both sides of the equation by x
100=1.7102620622092*x       - we divide both sides of the equation by (1.7102620622092) to get x
100/1.7102620622092=x
58.470571387656=x
x=58.470571387656

now we have:
122.49 is 58.470571387656% of 209.49