49.8 is what percent of 120.6 - 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 120.6 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 120.6, so we can write it down as 100%=120.6.
4. We know, that x% equals 49.8 of the output value, so we can write it down as x%=49.8.
5. Now we have two simple equations:
1) 100%=120.6
2) x%=49.8
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%=120.6/49.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 49.8 is what percent of 120.6

100%/x%=120.6/49.8
(100/x)*x=(120.6/49.8)*x       - we multiply both sides of the equation by x
100=2.421686746988*x       - we divide both sides of the equation by (2.421686746988) to get x
100/2.421686746988=x
41.293532338308=x
x=41.293532338308

now we have:
49.8 is 41.293532338308% of 120.6