201.74 is what percent of 720.5 - 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 720.5 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 720.5, so we can write it down as 100%=720.5.
4. We know, that x% equals 201.74 of the output value, so we can write it down as x%=201.74.
5. Now we have two simple equations:
1) 100%=720.5
2) x%=201.74
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%=720.5/201.74
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 201.74 is what percent of 720.5

100%/x%=720.5/201.74
(100/x)*x=(720.5/201.74)*x       - we multiply both sides of the equation by x
100=3.5714285714286*x       - we divide both sides of the equation by (3.5714285714286) to get x
100/3.5714285714286=x
28=x
x=28

now we have:
201.74 is 28% of 720.5