3.1 is what percent of 1.009 - 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 1.009 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 1.009, so we can write it down as 100%=1.009.
4. We know, that x% equals 3.1 of the output value, so we can write it down as x%=3.1.
5. Now we have two simple equations:
1) 100%=1.009
2) x%=3.1
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%=1.009/3.1
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3.1 is what percent of 1.009

100%/x%=1.009/3.1
(100/x)*x=(1.009/3.1)*x       - we multiply both sides of the equation by x
100=0.32548387096774*x       - we divide both sides of the equation by (0.32548387096774) to get x
100/0.32548387096774=x
307.23488602577=x
x=307.23488602577

now we have:
3.1 is 307.23488602577% of 1.009