307.42 is what percent of 809 - 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 809 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 809, so we can write it down as 100%=809.
4. We know, that x% equals 307.42 of the output value, so we can write it down as x%=307.42.
5. Now we have two simple equations:
1) 100%=809
2) x%=307.42
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%=809/307.42
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 307.42 is what percent of 809

100%/x%=809/307.42
(100/x)*x=(809/307.42)*x       - we multiply both sides of the equation by x
100=2.6315789473684*x       - we divide both sides of the equation by (2.6315789473684) to get x
100/2.6315789473684=x
38=x
x=38

now we have:
307.42 is 38% of 809