103.9 is what percent of 302.5 - 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 302.5 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 302.5, so we can write it down as 100%=302.5.
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%=302.5
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%=302.5/103.9
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 302.5

100%/x%=302.5/103.9
(100/x)*x=(302.5/103.9)*x       - we multiply both sides of the equation by x
100=2.9114533205005*x       - we divide both sides of the equation by (2.9114533205005) to get x
100/2.9114533205005=x
34.347107438017=x
x=34.347107438017

now we have:
103.9 is 34.347107438017% of 302.5