Self-Clocked Fair Queueing (SCFQ) and Credit-Based Fair Queueing (CBFQ) are well-known fair scheduling schemes for packet-switched network. In this paper, it is shown that SCFQ and CBFQ are equivalent in selecting packets to transmit. For this, we modified the per-packet service tag based SCFQ algorithm to an equivalent per-session service tag based algorithm, SCFQ+, and showed that the service tags for SCFQ+ and CBFQ evolve identically.