103.63 is what percent of 1439.36 - 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 1439.36 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 1439.36, so we can write it down as 100%=1439.36.
4. We know, that x% equals 103.63 of the output value, so we can write it down as x%=103.63.
5. Now we have two simple equations:
1) 100%=1439.36
2) x%=103.63
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%=1439.36/103.63
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 103.63 is what percent of 1439.36

100%/x%=1439.36/103.63
(100/x)*x=(1439.36/103.63)*x       - we multiply both sides of the equation by x
100=13.889414262279*x       - we divide both sides of the equation by (13.889414262279) to get x
100/13.889414262279=x
7.1997276567363=x
x=7.1997276567363

now we have:
103.63 is 7.1997276567363% of 1439.36