209.5 is what percent of 242.5 - 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 242.5 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 242.5, so we can write it down as 100%=242.5.
4. We know, that x% equals 209.5 of the output value, so we can write it down as x%=209.5.
5. Now we have two simple equations:
1) 100%=242.5
2) x%=209.5
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%=242.5/209.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 209.5 is what percent of 242.5

100%/x%=242.5/209.5
(100/x)*x=(242.5/209.5)*x       - we multiply both sides of the equation by x
100=1.1575178997613*x       - we divide both sides of the equation by (1.1575178997613) to get x
100/1.1575178997613=x
86.39175257732=x
x=86.39175257732

now we have:
209.5 is 86.39175257732% of 242.5