Milwaukee Brewers First-Place Clinch Scenario

Milwaukee's traditional magic number (relative to first-place Chicago) is 30 + 112 - 25 + 1 = 118.
Milwaukee's first-place clinch number is 109.
Milwaukee must win 109 more games (134 total) to clinch first place.

If Milwaukee wins 109 more games, their final win total will be at least 134.
The table below shows the best case scenario for each of the other teams if Milwaukee wins 109 of their remaining 111 games and loses the other 2.
For each team, the table shows the current record (number of wins (W) and losses (L)) and the number of games that team has
left to play (GL) in the regular season. Taking the schedule of games left to play into account, the 'Losses to Milwaukee' column gives the
minimum number of games that each team will lose to Milwaukee if Milwaukee wins 109 more games. Assuming that a team wins all of its remaining games except for
the games it loses to Milwaukee, the resulting maximum number of wins is shown in the 'Maximum W' column.

Team             W	L	GL	Losses to Milwaukee	Maximum W
Chicago          30	20	112	      10 - 2 = 8	134 *See tie-breaking notes below.
St. Louis        27	23	112	      10 - 2 = 8	131
Cincinnati       25	26	111	       9 - 2 = 7	129
Pittsburgh       17	34	111	     12 - 2 = 10	118

Tie-breakers:
Milwaukee has won 1 game(s) against Chicago and lost 2.
There are 10 games left in the series.
In the scenario above, Milwaukee wins 1 + 8 = 9 games against Chicago and loses 2 + 2 = 4.

The table above shows that if Milwaukee wins 109 more games (134 total), then they will finish the season in first place in the division.

To see that Milwaukee's first-place clinch number cannot be less than 109, consider the following scenario in which Milwaukee wins 108 more games (133 total) but does not finish in first place:

Team             W	L	PCT	GB
Chicago          134	28	0.827	0.00
Milwaukee        133	29	0.821	1.00
St. Louis        115	47	0.710	19.00
Cincinnati       69	93	0.426	65.00
Pittsburgh       54	108	0.333	80.00

To construct the scenario, we start with the current standings in the division:
Team             W	L	GL	PCT	GB
Chicago          30	20	112	0.600	0.0
St. Louis        27	23	112	0.540	3.0
Cincinnati       25	26	111	0.490	5.5
Milwaukee        25	26	111	0.490	5.5
Pittsburgh       17	34	111	0.333	13.5

Next, we show how the remaining series of games in the division play out in the scenario:


Chicago currently has 0 wins against Cincinnati and 0 losses.
  Chicago wins 13 additional games against Cincinnati and loses 0.
  Chicago wins the series 13 games to 0

Chicago currently has 2 wins against Pittsburgh and 1 losses.
  Chicago wins 10 additional games against Pittsburgh and loses 0.
  Chicago wins the series 12 games to 1

Chicago currently has 0 wins against St. Louis and 0 losses.
  Chicago wins 13 additional games against St. Louis and loses 0.
  Chicago wins the series 13 games to 0

Cincinnati currently has 4 wins against Pittsburgh and 2 losses.
  Cincinnati wins 7 additional games against Pittsburgh and loses 0.
  Cincinnati wins the series 11 games to 2

Milwaukee currently has 1 wins against Chicago and 2 losses.
  Milwaukee wins 8 additional games against Chicago and loses 2.
  Milwaukee wins the series 9 games to 4

Milwaukee currently has 3 wins against Cincinnati and 1 losses.
  Milwaukee wins 9 additional games against Cincinnati and loses 0.
  Milwaukee wins the series 12 games to 1

Milwaukee currently has 1 wins against Pittsburgh and 0 losses.
  Milwaukee wins 11 additional games against Pittsburgh and loses 1.
  Milwaukee wins the series 12 games to 1

Milwaukee currently has 1 wins against St. Louis and 2 losses.
  Milwaukee wins 10 additional games against St. Louis and loses 0.
  Milwaukee wins the series 11 games to 2

St. Louis currently has 2 wins against Cincinnati and 2 losses.
  St. Louis wins 9 additional games against Cincinnati and loses 0.
  St. Louis wins the series 11 games to 2

St. Louis currently has 4 wins against Pittsburgh and 2 losses.
  St. Louis wins 7 additional games against Pittsburgh and loses 0.
  St. Louis wins the series 11 games to 2

Chicago wins 66 games agains teams outside the division and loses 0.
Cincinnati wins 37 games agains teams outside the division and loses 36.
Milwaukee wins 70 games agains teams outside the division and loses 0.
Pittsburgh wins 36 games agains teams outside the division and loses 39.
St. Louis wins 72 games agains teams outside the division and loses 1.

Combining the current standings with the wins and losses from the scenario results in the final standings listed above.
# Milwaukee Brewers' magic number
# Milwaukee's magic number
# Brewers' magic number
# MLB Playoff Race