61.1 is what 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 100% equals 120, so we can write it down as 100%=120.
4. We know, that x% equals 61.1 of the output value, so we can write it down as x%=61.1.
5. Now we have two simple equations:
1) 100%=120
2) x%=61.1
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%=120/61.1
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 61.1 is what percent of 120

100%/x%=120/61.1
(100/x)*x=(120/61.1)*x       - we multiply both sides of the equation by x
100=1.9639934533552*x       - we divide both sides of the equation by (1.9639934533552) to get x
100/1.9639934533552=x
50.916666666667=x
x=50.916666666667

now we have:
61.1 is 50.916666666667% of 120