What is 1.11 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 580.64 is 100%, so we can write it down as 580.64=100%.
4. We know, that x is 1.11% of the output value, so we can write it down as x=1.11%.
5. Now we have two simple equations:
1) 580.64=100%
2) x=1.11%
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:
580.64/x=100%/1.11%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 1.11% of 580.64

580.64/x=100/1.11
(580.64/x)*x=(100/1.11)*x       - we multiply both sides of the equation by x
580.64=90.09009009009*x       - we divide both sides of the equation by (90.09009009009) to get x
580.64/90.09009009009=x
6.445104=x
x=6.445104

now we have:
1.11% of 580.64=6.445104