5.6 is what percent of 46.6666666667 - 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 46.6666666667 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 100% equals 46.6666666667, so we can write it down as 100%=46.6666666667.
4. We know, that x% equals 5.6 of the output value, so we can write it down as x%=5.6.
5. Now we have two simple equations:
1) 100%=46.6666666667
2) x%=5.6
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:
100%/x%=46.6666666667/5.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5.6 is what percent of 46.6666666667

100%/x%=46.6666666667/5.6
(100/x)*x=(46.6666666667/5.6)*x       - we multiply both sides of the equation by x
100=8.3333333333393*x       - we divide both sides of the equation by (8.3333333333393) to get x
100/8.3333333333393=x
11.999999999991=x
x=11.999999999991

now we have:
5.6 is 11.999999999991% of 46.6666666667