What is 46.6666666667 percent of 120 - 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 120 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 120 is 100%, so we can write it down as 120=100%.
4. We know, that x is 46.6666666667% of the output value, so we can write it down as x=46.6666666667%.
5. Now we have two simple equations:
1) 120=100%
2) x=46.6666666667%
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:
120/x=100%/46.6666666667%
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 46.6666666667% of 120

120/x=100/46.6666666667
(120/x)*x=(100/46.6666666667)*x       - we multiply both sides of the equation by x
120=2.1428571428556*x       - we divide both sides of the equation by (2.1428571428556) to get x
120/2.1428571428556=x
56.00000000004=x
x=56.00000000004

now we have:
46.6666666667% of 120=56.00000000004