3.11 is what percent of 37 - 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 37 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 37, so we can write it down as 100%=37.
4. We know, that x% equals 3.11 of the output value, so we can write it down as x%=3.11.
5. Now we have two simple equations:
1) 100%=37
2) x%=3.11
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%=37/3.11
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3.11 is what percent of 37

100%/x%=37/3.11
(100/x)*x=(37/3.11)*x       - we multiply both sides of the equation by x
100=11.8971061093*x       - we divide both sides of the equation by (11.8971061093) to get x
100/11.8971061093=x
8.40540540541=x
x=8.40540540541

now we have:
3.11 is 8.40540540541% of 37