11.1 is what percent of 37.7 - 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 37.7 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 37.7, so we can write it down as 100%=37.7.
4. We know, that x% equals 11.1 of the output value, so we can write it down as x%=11.1.
5. Now we have two simple equations:
1) 100%=37.7
2) x%=11.1
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%=37.7/11.1
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 11.1 is what percent of 37.7

100%/x%=37.7/11.1
(100/x)*x=(37.7/11.1)*x       - we multiply both sides of the equation by x
100=3.3963963963964*x       - we divide both sides of the equation by (3.3963963963964) to get x
100/3.3963963963964=x
29.442970822281=x
x=29.442970822281

now we have:
11.1 is 29.442970822281% of 37.7