393.3 is what percent of 908.45 - 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 908.45 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 908.45, so we can write it down as 100%=908.45.
4. We know, that x% equals 393.3 of the output value, so we can write it down as x%=393.3.
5. Now we have two simple equations:
1) 100%=908.45
2) x%=393.3
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%=908.45/393.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 393.3 is what percent of 908.45

100%/x%=908.45/393.3
(100/x)*x=(908.45/393.3)*x       - we multiply both sides of the equation by x
100=2.3098143910501*x       - we divide both sides of the equation by (2.3098143910501) to get x
100/2.3098143910501=x
43.293521932963=x
x=43.293521932963

now we have:
393.3 is 43.293521932963% of 908.45