11.5 is what percent of 6 - 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 6 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 6, so we can write it down as 100%=6.
4. We know, that x% equals 11.5 of the output value, so we can write it down as x%=11.5.
5. Now we have two simple equations:
1) 100%=6
2) x%=11.5
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%=6/11.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 11.5 is what percent of 6

100%/x%=6/11.5
(100/x)*x=(6/11.5)*x       - we multiply both sides of the equation by x
100=0.52173913043478*x       - we divide both sides of the equation by (0.52173913043478) to get x
100/0.52173913043478=x
191.66666666667=x
x=191.66666666667

now we have:
11.5 is 191.66666666667% of 6