The "series" is the tire height itself. It is determined as a percentage of the tire width. I know that's a little bit confusing, but here's an example.
On a 45-series tire that is 225mm wide, your sidewall height will be 45% of 225mm. Which is 101.25mm.
On a 40-series tire that is 225mm wide, your sidewall height will be 40% of 225mm. Which is 90mm.
The stock tires are 215/45 which makes the sidewall height 96.75mm. The reason it is encouraged to go with a 225/40 instead of a 225/45 is with a shorter sidewall on the 40-series you will be going slower than your speedometer says. Whereas with the 225/45 you will be going faster than what your speedometer says. Does that make sense?