What is 55.5555555 percent of 8.5 - 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 8.5 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 8.5 is 100%, so we can write it down as 8.5=100%.
4. We know, that x is 55.5555555% of the output value, so we can write it down as x=55.5555555%.
5. Now we have two simple equations:
1) 8.5=100%
2) x=55.5555555%
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:
8.5/x=100%/55.5555555%
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 55.5555555% of 8.5

8.5/x=100/55.5555555
(8.5/x)*x=(100/55.5555555)*x       - we multiply both sides of the equation by x
8.5=1.8000000018*x       - we divide both sides of the equation by (1.8000000018) to get x
8.5/1.8000000018=x
4.7222222175=x
x=4.7222222175

now we have:
55.5555555% of 8.5=4.7222222175