What is 41.6666738 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 41.6666738% of the output value, so we can write it down as x=41.6666738%.
5. Now we have two simple equations:
1) 120=100%
2) x=41.6666738%
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%/41.6666738%
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 41.6666738% of 120

120/x=100/41.6666738
(120/x)*x=(100/41.6666738)*x       - we multiply both sides of the equation by x
120=2.3999995891201*x       - we divide both sides of the equation by (2.3999995891201) to get x
120/2.3999995891201=x
50.00000856=x
x=50.00000856

now we have:
41.6666738% of 120=50.00000856