What is 1.166666667 percent of 567 - 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 567 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 567 is 100%, so we can write it down as 567=100%.
4. We know, that x is 1.166666667% of the output value, so we can write it down as x=1.166666667%.
5. Now we have two simple equations:
1) 567=100%
2) x=1.166666667%
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:
567/x=100%/1.166666667%
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 1.166666667% of 567

567/x=100/1.166666667
(567/x)*x=(100/1.166666667)*x       - we multiply both sides of the equation by x
567=85.714285689796*x       - we divide both sides of the equation by (85.714285689796) to get x
567/85.714285689796=x
6.61500000189=x
x=6.61500000189

now we have:
1.166666667% of 567=6.61500000189