11.42 is what percent of 23.66 - 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 23.66 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 23.66, so we can write it down as 100%=23.66.
4. We know, that x% equals 11.42 of the output value, so we can write it down as x%=11.42.
5. Now we have two simple equations:
1) 100%=23.66
2) x%=11.42
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%=23.66/11.42
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 11.42 is what percent of 23.66

100%/x%=23.66/11.42
(100/x)*x=(23.66/11.42)*x       - we multiply both sides of the equation by x
100=2.0718038528897*x       - we divide both sides of the equation by (2.0718038528897) to get x
100/2.0718038528897=x
48.267117497887=x
x=48.267117497887

now we have:
11.42 is 48.267117497887% of 23.66