What is 15.555555555556 percent of 6.6666666666667 - 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 6.6666666666667 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 6.6666666666667 is 100%, so we can write it down as 6.6666666666667=100%.
4. We know, that x is 15.555555555556% of the output value, so we can write it down as x=15.555555555556%.
5. Now we have two simple equations:
1) 6.6666666666667=100%
2) x=15.555555555556%
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:
6.6666666666667/x=100%/15.555555555556%
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 15.555555555556% of 6.6666666666667

6.6666666666667/x=100/15.555555555556
(6.6666666666667/x)*x=(100/15.555555555556)*x       - we multiply both sides of the equation by x
6.6666666666667=6.4285714285714*x       - we divide both sides of the equation by (6.4285714285714) to get x
6.6666666666667/6.4285714285714=x
1.037037037037=x
x=1.037037037037

now we have:
15.555555555556% of 6.6666666666667=1.037037037037