120.46 is what percent of 2414.16 - 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 2414.16 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 2414.16, so we can write it down as 100%=2414.16.
4. We know, that x% equals 120.46 of the output value, so we can write it down as x%=120.46.
5. Now we have two simple equations:
1) 100%=2414.16
2) x%=120.46
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%=2414.16/120.46
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 120.46 is what percent of 2414.16

100%/x%=2414.16/120.46
(100/x)*x=(2414.16/120.46)*x       - we multiply both sides of the equation by x
100=20.04117549394*x       - we divide both sides of the equation by (20.04117549394) to get x
100/20.04117549394=x
4.9897272757398=x
x=4.9897272757398

now we have:
120.46 is 4.9897272757398% of 2414.16