110.4 is what percent of 580 - 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 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, so we can write it down as 100%=580.
4. We know, that x% equals 110.4 of the output value, so we can write it down as x%=110.4.
5. Now we have two simple equations:
1) 100%=580
2) x%=110.4
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%=580/110.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 110.4 is what percent of 580

100%/x%=580/110.4
(100/x)*x=(580/110.4)*x       - we multiply both sides of the equation by x
100=5.2536231884058*x       - we divide both sides of the equation by (5.2536231884058) to get x
100/5.2536231884058=x
19.034482758621=x
x=19.034482758621

now we have:
110.4 is 19.034482758621% of 580