209.5 is what percent of 274 - 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 274 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 274, so we can write it down as 100%=274.
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%=274
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%=274/209.5
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 274

100%/x%=274/209.5
(100/x)*x=(274/209.5)*x       - we multiply both sides of the equation by x
100=1.3078758949881*x       - we divide both sides of the equation by (1.3078758949881) to get x
100/1.3078758949881=x
76.459854014599=x
x=76.459854014599

now we have:
209.5 is 76.459854014599% of 274