209.22 is what percent of 155.37 - 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 155.37 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 155.37, so we can write it down as 100%=155.37.
4. We know, that x% equals 209.22 of the output value, so we can write it down as x%=209.22.
5. Now we have two simple equations:
1) 100%=155.37
2) x%=209.22
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%=155.37/209.22
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 209.22 is what percent of 155.37

100%/x%=155.37/209.22
(100/x)*x=(155.37/209.22)*x       - we multiply both sides of the equation by x
100=0.7426154287353*x       - we divide both sides of the equation by (0.7426154287353) to get x
100/0.7426154287353=x
134.65920061788=x
x=134.65920061788

now we have:
209.22 is 134.65920061788% of 155.37