Can someone explain the Sonneborn-Berger system as implemented in Tournaments? It basically says it is the sum of points of the players that I beat (1/2 points if drawn). And, points earned with stronger players are more valuable than those from weaker players. What "points" are actually used to calculate it?

In the link provided for a tournament I am in, I and Uil tied in points. We played each other twice and split the games. Since he is ranked higher (better player), shouldn't I have I higher S-B score? Also, we each lost one more game. The opponent I lost too had a higher rating (better player) than the one Uil lost to. So again, shouldn't I have a higher S-B score? After that we each beat the same opponents... Uil, is a great player and I don't really care about the outcome. I would just like to know how it is calculated.

Maybe simplify...if we both beat every other player, but split the two games (we each won one). Who would have the higher S-B score? and why?