11.6 is what percent of 215 - 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 215 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 215, so we can write it down as 100%=215.
4. We know, that x% equals 11.6 of the output value, so we can write it down as x%=11.6.
5. Now we have two simple equations:
1) 100%=215
2) x%=11.6
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%=215/11.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 11.6 is what percent of 215

100%/x%=215/11.6
(100/x)*x=(215/11.6)*x       - we multiply both sides of the equation by x
100=18.534482758621*x       - we divide both sides of the equation by (18.534482758621) to get x
100/18.534482758621=x
5.3953488372093=x
x=5.3953488372093

now we have:
11.6 is 5.3953488372093% of 215