What is 41.66658 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 41.66658% of the output value, so we can write it down as x=41.66658%.
5. Now we have two simple equations:
1) 120=100%
2) x=41.66658%
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%/41.66658%
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 41.66658% of 120

120/x=100/41.66658
(120/x)*x=(100/41.66658)*x       - we multiply both sides of the equation by x
120=2.4000049920104*x       - we divide both sides of the equation by (2.4000049920104) to get x
120/2.4000049920104=x
49.999896=x
x=49.999896

now we have:
41.66658% of 120=49.999896