209.5 is what percent of 221 - 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 221 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 221, so we can write it down as 100%=221.
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%=221
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%=221/209.5
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 221

100%/x%=221/209.5
(100/x)*x=(221/209.5)*x       - we multiply both sides of the equation by x
100=1.054892601432*x       - we divide both sides of the equation by (1.054892601432) to get x
100/1.054892601432=x
94.796380090498=x
x=94.796380090498

now we have:
209.5 is 94.796380090498% of 221