123.4 is what percent of 209.56 - 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 209.56 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 209.56, so we can write it down as 100%=209.56.
4. We know, that x% equals 123.4 of the output value, so we can write it down as x%=123.4.
5. Now we have two simple equations:
1) 100%=209.56
2) x%=123.4
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%=209.56/123.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 123.4 is what percent of 209.56

100%/x%=209.56/123.4
(100/x)*x=(209.56/123.4)*x       - we multiply both sides of the equation by x
100=1.6982171799028*x       - we divide both sides of the equation by (1.6982171799028) to get x
100/1.6982171799028=x
58.88528345104=x
x=58.88528345104

now we have:
123.4 is 58.88528345104% of 209.56