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

7. Solution for 155.37 is what percent of 209.22

100%/x%=209.22/155.37
(100/x)*x=(209.22/155.37)*x       - we multiply both sides of the equation by x
100=1.3465920061788*x       - we divide both sides of the equation by (1.3465920061788) to get x
100/1.3465920061788=x
74.26154287353=x
x=74.26154287353

now we have:
155.37 is 74.26154287353% of 209.22