209.04 is what percent of 425 - 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 425 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 425, so we can write it down as 100%=425.
4. We know, that x% equals 209.04 of the output value, so we can write it down as x%=209.04.
5. Now we have two simple equations:
1) 100%=425
2) x%=209.04
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%=425/209.04
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 209.04 is what percent of 425

100%/x%=425/209.04
(100/x)*x=(425/209.04)*x       - we multiply both sides of the equation by x
100=2.0331037122082*x       - we divide both sides of the equation by (2.0331037122082) to get x
100/2.0331037122082=x
49.185882352941=x
x=49.185882352941

now we have:
209.04 is 49.185882352941% of 425