9.74 is what percent of 580.64 - 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 580.64 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 580.64, so we can write it down as 100%=580.64.
4. We know, that x% equals 9.74 of the output value, so we can write it down as x%=9.74.
5. Now we have two simple equations:
1) 100%=580.64
2) x%=9.74
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%=580.64/9.74
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 9.74 is what percent of 580.64

100%/x%=580.64/9.74
(100/x)*x=(580.64/9.74)*x       - we multiply both sides of the equation by x
100=59.613963039014*x       - we divide both sides of the equation by (59.613963039014) to get x
100/59.613963039014=x
1.6774593551943=x
x=1.6774593551943

now we have:
9.74 is 1.6774593551943% of 580.64