120.8 is what percent of 604.88 - 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 604.88 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 604.88, so we can write it down as 100%=604.88.
4. We know, that x% equals 120.8 of the output value, so we can write it down as x%=120.8.
5. Now we have two simple equations:
1) 100%=604.88
2) x%=120.8
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%=604.88/120.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 120.8 is what percent of 604.88

100%/x%=604.88/120.8
(100/x)*x=(604.88/120.8)*x       - we multiply both sides of the equation by x
100=5.0072847682119*x       - we divide both sides of the equation by (5.0072847682119) to get x
100/5.0072847682119=x
19.970903319667=x
x=19.970903319667

now we have:
120.8 is 19.970903319667% of 604.88