209.8 is what percent of 169.5 - 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 169.5 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 169.5, so we can write it down as 100%=169.5.
4. We know, that x% equals 209.8 of the output value, so we can write it down as x%=209.8.
5. Now we have two simple equations:
1) 100%=169.5
2) x%=209.8
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%=169.5/209.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 209.8 is what percent of 169.5

100%/x%=169.5/209.8
(100/x)*x=(169.5/209.8)*x       - we multiply both sides of the equation by x
100=0.80791229742612*x       - we divide both sides of the equation by (0.80791229742612) to get x
100/0.80791229742612=x
123.77581120944=x
x=123.77581120944

now we have:
209.8 is 123.77581120944% of 169.5