What is 0.55555555555556 percent of 11530 - 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 11530 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 11530 is 100%, so we can write it down as 11530=100%.
4. We know, that x is 0.55555555555556% of the output value, so we can write it down as x=0.55555555555556%.
5. Now we have two simple equations:
1) 11530=100%
2) x=0.55555555555556%
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:
11530/x=100%/0.55555555555556%
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 0.55555555555556% of 11530

11530/x=100/0.55555555555556
(11530/x)*x=(100/0.55555555555556)*x       - we multiply both sides of the equation by x
11530=180*x       - we divide both sides of the equation by (180) to get x
11530/180=x
64.055555555556=x
x=64.055555555556

now we have:
0.55555555555556% of 11530=64.055555555556