11.61 is what percent of 165.96 - 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 165.96 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 165.96, so we can write it down as 100%=165.96.
4. We know, that x% equals 11.61 of the output value, so we can write it down as x%=11.61.
5. Now we have two simple equations:
1) 100%=165.96
2) x%=11.61
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%=165.96/11.61
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 11.61 is what percent of 165.96

100%/x%=165.96/11.61
(100/x)*x=(165.96/11.61)*x       - we multiply both sides of the equation by x
100=14.294573643411*x       - we divide both sides of the equation by (14.294573643411) to get x
100/14.294573643411=x
6.9956616052061=x
x=6.9956616052061

now we have:
11.61 is 6.9956616052061% of 165.96