3.71 is what percent of 11.66 - 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 11.66 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 11.66, so we can write it down as 100%=11.66.
4. We know, that x% equals 3.71 of the output value, so we can write it down as x%=3.71.
5. Now we have two simple equations:
1) 100%=11.66
2) x%=3.71
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%=11.66/3.71
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3.71 is what percent of 11.66

100%/x%=11.66/3.71
(100/x)*x=(11.66/3.71)*x       - we multiply both sides of the equation by x
100=3.1428571428571*x       - we divide both sides of the equation by (3.1428571428571) to get x
100/3.1428571428571=x
31.818181818182=x
x=31.818181818182

now we have:
3.71 is 31.818181818182% of 11.66