60.4 is what percent of 120.7 - 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 120.7 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 120.7, so we can write it down as 100%=120.7.
4. We know, that x% equals 60.4 of the output value, so we can write it down as x%=60.4.
5. Now we have two simple equations:
1) 100%=120.7
2) x%=60.4
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%=120.7/60.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 60.4 is what percent of 120.7

100%/x%=120.7/60.4
(100/x)*x=(120.7/60.4)*x       - we multiply both sides of the equation by x
100=1.9983443708609*x       - we divide both sides of the equation by (1.9983443708609) to get x
100/1.9983443708609=x
50.041425020713=x
x=50.041425020713

now we have:
60.4 is 50.041425020713% of 120.7