36.9 is what percent of 305.9 - 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 305.9 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 305.9, so we can write it down as 100%=305.9.
4. We know, that x% equals 36.9 of the output value, so we can write it down as x%=36.9.
5. Now we have two simple equations:
1) 100%=305.9
2) x%=36.9
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%=305.9/36.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 36.9 is what percent of 305.9

100%/x%=305.9/36.9
(100/x)*x=(305.9/36.9)*x       - we multiply both sides of the equation by x
100=8.289972899729*x       - we divide both sides of the equation by (8.289972899729) to get x
100/8.289972899729=x
12.062765609676=x
x=12.062765609676

now we have:
36.9 is 12.062765609676% of 305.9