13.64 is what percent of 580.5 - 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 580.5 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 580.5, so we can write it down as 100%=580.5.
4. We know, that x% equals 13.64 of the output value, so we can write it down as x%=13.64.
5. Now we have two simple equations:
1) 100%=580.5
2) x%=13.64
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%=580.5/13.64
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 13.64 is what percent of 580.5

100%/x%=580.5/13.64
(100/x)*x=(580.5/13.64)*x       - we multiply both sides of the equation by x
100=42.558651026393*x       - we divide both sides of the equation by (42.558651026393) to get x
100/42.558651026393=x
2.349698535745=x
x=2.349698535745

now we have:
13.64 is 2.349698535745% of 580.5