297.1 is what percent of 600.2 - 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 600.2 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 600.2, so we can write it down as 100%=600.2.
4. We know, that x% equals 297.1 of the output value, so we can write it down as x%=297.1.
5. Now we have two simple equations:
1) 100%=600.2
2) x%=297.1
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%=600.2/297.1
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 297.1 is what percent of 600.2

100%/x%=600.2/297.1
(100/x)*x=(600.2/297.1)*x       - we multiply both sides of the equation by x
100=2.0201952204645*x       - we divide both sides of the equation by (2.0201952204645) to get x
100/2.0201952204645=x
49.50016661113=x
x=49.50016661113

now we have:
297.1 is 49.50016661113% of 600.2