3.09 is what percent of 31.1 - 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 31.1 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 31.1, so we can write it down as 100%=31.1.
4. We know, that x% equals 3.09 of the output value, so we can write it down as x%=3.09.
5. Now we have two simple equations:
1) 100%=31.1
2) x%=3.09
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%=31.1/3.09
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3.09 is what percent of 31.1

100%/x%=31.1/3.09
(100/x)*x=(31.1/3.09)*x       - we multiply both sides of the equation by x
100=10.064724919094*x       - we divide both sides of the equation by (10.064724919094) to get x
100/10.064724919094=x
9.935691318328=x
x=9.935691318328

now we have:
3.09 is 9.935691318328% of 31.1