What is 5.55555555556 percent of 9 - 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 9 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 9 is 100%, so we can write it down as 9=100%.
4. We know, that x is 5.55555555556% of the output value, so we can write it down as x=5.55555555556%.
5. Now we have two simple equations:
1) 9=100%
2) x=5.55555555556%
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:
9/x=100%/5.55555555556%
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 5.55555555556% of 9

9/x=100/5.55555555556
(9/x)*x=(100/5.55555555556)*x       - we multiply both sides of the equation by x
9=17.999999999986*x       - we divide both sides of the equation by (17.999999999986) to get x
9/17.999999999986=x
0.5000000000004=x
x=0.5000000000004

now we have:
5.55555555556% of 9=0.5000000000004