What is 0.555555555556 percent of 180.55 - 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 180.55 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 180.55 is 100%, so we can write it down as 180.55=100%.
4. We know, that x is 0.555555555556% of the output value, so we can write it down as x=0.555555555556%.
5. Now we have two simple equations:
1) 180.55=100%
2) x=0.555555555556%
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:
180.55/x=100%/0.555555555556%
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 0.555555555556% of 180.55

180.55/x=100/0.555555555556
(180.55/x)*x=(100/0.555555555556)*x       - we multiply both sides of the equation by x
180.55=179.99999999986*x       - we divide both sides of the equation by (179.99999999986) to get x
180.55/179.99999999986=x
1.0030555555564=x
x=1.0030555555564

now we have:
0.555555555556% of 180.55=1.0030555555564