120.02 is what percent of 588.07 - 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 588.07 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 588.07, so we can write it down as 100%=588.07.
4. We know, that x% equals 120.02 of the output value, so we can write it down as x%=120.02.
5. Now we have two simple equations:
1) 100%=588.07
2) x%=120.02
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%=588.07/120.02
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 120.02 is what percent of 588.07

100%/x%=588.07/120.02
(100/x)*x=(588.07/120.02)*x       - we multiply both sides of the equation by x
100=4.8997667055491*x       - we divide both sides of the equation by (4.8997667055491) to get x
100/4.8997667055491=x
20.409134966926=x
x=20.409134966926

now we have:
120.02 is 20.409134966926% of 588.07