11.64 is what percent of 55 - 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 55 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 55, so we can write it down as 100%=55.
4. We know, that x% equals 11.64 of the output value, so we can write it down as x%=11.64.
5. Now we have two simple equations:
1) 100%=55
2) x%=11.64
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%=55/11.64
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 11.64 is what percent of 55

100%/x%=55/11.64
(100/x)*x=(55/11.64)*x       - we multiply both sides of the equation by x
100=4.7250859106529*x       - we divide both sides of the equation by (4.7250859106529) to get x
100/4.7250859106529=x
21.163636363636=x
x=21.163636363636

now we have:
11.64 is 21.163636363636% of 55