103.9 is what percent of 404.9 - 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 404.9 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 404.9, so we can write it down as 100%=404.9.
4. We know, that x% equals 103.9 of the output value, so we can write it down as x%=103.9.
5. Now we have two simple equations:
1) 100%=404.9
2) x%=103.9
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%=404.9/103.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 103.9 is what percent of 404.9

100%/x%=404.9/103.9
(100/x)*x=(404.9/103.9)*x       - we multiply both sides of the equation by x
100=3.8970163618864*x       - we divide both sides of the equation by (3.8970163618864) to get x
100/3.8970163618864=x
25.660656952334=x
x=25.660656952334

now we have:
103.9 is 25.660656952334% of 404.9