For an SN1 reaction, the rate determining step is a unimolecular reaction. Basically, what occurs is the leaving group dissociates from the electrophile to generate a carbocation. The rate of this depends only on the amount of your electrophile present.
For an SN2 reaction, the rate determining step is a bimolecular reaction. The nucleophile and electrophile collide in solution in order to react. Therefore, the rate at which this collision occurs depends on the concentration of both electrophile and nucleophile.