16.64 is what percent of 88.64 - 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 88.64 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 88.64, so we can write it down as 100%=88.64.
4. We know, that x% equals 16.64 of the output value, so we can write it down as x%=16.64.
5. Now we have two simple equations:
1) 100%=88.64
2) x%=16.64
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%=88.64/16.64
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 16.64 is what percent of 88.64

100%/x%=88.64/16.64
(100/x)*x=(88.64/16.64)*x       - we multiply both sides of the equation by x
100=5.3269230769231*x       - we divide both sides of the equation by (5.3269230769231) to get x
100/5.3269230769231=x
18.772563176895=x
x=18.772563176895

now we have:
16.64 is 18.772563176895% of 88.64