39.3 is what percent of 103.6 - 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 103.6 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 103.6, so we can write it down as 100%=103.6.
4. We know, that x% equals 39.3 of the output value, so we can write it down as x%=39.3.
5. Now we have two simple equations:
1) 100%=103.6
2) x%=39.3
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%=103.6/39.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 39.3 is what percent of 103.6

100%/x%=103.6/39.3
(100/x)*x=(103.6/39.3)*x       - we multiply both sides of the equation by x
100=2.6361323155216*x       - we divide both sides of the equation by (2.6361323155216) to get x
100/2.6361323155216=x
37.934362934363=x
x=37.934362934363

now we have:
39.3 is 37.934362934363% of 103.6