What is 29.166666666667 percent of 20 - 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 20 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 20 is 100%, so we can write it down as 20=100%.
4. We know, that x is 29.166666666667% of the output value, so we can write it down as x=29.166666666667%.
5. Now we have two simple equations:
1) 20=100%
2) x=29.166666666667%
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:
20/x=100%/29.166666666667%
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 29.166666666667% of 20

20/x=100/29.166666666667
(20/x)*x=(100/29.166666666667)*x       - we multiply both sides of the equation by x
20=3.4285714285714*x       - we divide both sides of the equation by (3.4285714285714) to get x
20/3.4285714285714=x
5.8333333333334=x
x=5.8333333333334

now we have:
29.166666666667% of 20=5.8333333333334