With the intended meaning of "according to", this is a popular nonsense phrase used by people trying to sound smart and technical. Since "per" means "according to", the "as" is superfluous.

Taken in the contest of the song Baby's Got Back by Sir-Mix-Alot he is referring to Florence Griffith Joyner a track athlete in the 1988 Olympics who defiantly fits all the other descriptions of what he likes in women mentioned in that song. Not some soda why on earth would you want to keep your women like a soda anyway?

As per is simply short for as per usual. Given that the phrase is so common in everyday usage, dropping the usual makes it much easier to say and is designed to be used in a non formal manner.

hes hot.