Minnesota Twins First-Place Clinch Scenario

Minnesota's traditional magic number (relative to first-place Detroit) is 33 + 111 - 27 + 1 = 118.
Minnesota's first-place clinch number is 110.
Minnesota must win 110 more games (137 total) to clinch first place.

If Minnesota wins 110 more games, their final win total will be at least 137.
The table below shows the best case scenario for each of the other teams if Minnesota wins 110 of their remaining 113 games and loses the other 3.
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 Minnesota' column gives the
minimum number of games that each team will lose to Minnesota if Minnesota wins 110 more games. Assuming that a team wins all of its remaining games except for
the games it loses to Minnesota, the resulting maximum number of wins is shown in the 'Maximum W' column.

Team             W	L	GL	Losses to Minnesota	Maximum W
Detroit          33	18	111	      10 - 3 = 7	137 *See tie-breaking notes below.
Cleveland        27	22	113	       7 - 3 = 4	136
Kansas City      28	23	111	       9 - 3 = 6	133
Chicago          15	35	112	       7 - 3 = 4	123

Tie-breakers:
Minnesota has won 1 game(s) against Detroit and lost 2.
There are 10 games left in the series.
In the scenario above, Minnesota wins 1 + 7 = 8 games against Detroit and loses 2 + 3 = 5.

The table above shows that if Minnesota wins 110 more games (137 total), then they will finish the season in first place in the division.

To see that Minnesota's first-place clinch number cannot be less than 110, consider the following scenario in which Minnesota wins 109 more games (136 total) but does not finish in first place:

Team             W	L	PCT	GB
Cleveland        136	26	0.840	0.00
Minnesota        136	26	0.840	0.00
Detroit          115	47	0.710	21.00
Kansas City      91	71	0.562	45.00
Chicago          79	83	0.488	57.00

Tie breakers
Cleveland wins the season series with Minnesota 8 games to 5.

To construct the scenario, we start with the current standings in the division:
Team             W	L	GL	PCT	GB
Detroit          33	18	111	0.647	0.0
Cleveland        27	22	113	0.551	5.0
Minnesota        27	22	113	0.551	5.0
Kansas City      28	23	111	0.549	5.0
Chicago          15	35	112	0.300	17.5

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


Chicago currently has 0 wins against Kansas City and 4 losses.
  Chicago wins 9 additional games against Kansas City and loses 0.
  Chicago wins the series 9 games to 4

Cleveland currently has 3 wins against Chicago and 0 losses.
  Cleveland wins 10 additional games against Chicago and loses 0.
  Cleveland wins the series 13 games to 0

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

Cleveland currently has 4 wins against Kansas City and 2 losses.
  Cleveland wins 7 additional games against Kansas City and loses 0.
  Cleveland wins the series 11 games to 2

Cleveland currently has 4 wins against Minnesota and 2 losses.
  Cleveland wins 4 additional games against Minnesota and loses 3.
  Cleveland wins the series 8 games to 5

Detroit currently has 3 wins against Chicago and 0 losses.
  Detroit wins 7 additional games against Chicago and loses 3.
  Detroit wins the series 10 games to 3

Detroit currently has 3 wins against Kansas City and 1 losses.
  Detroit wins 4 additional games against Kansas City and loses 5.
  Detroit wins the series 7 games to 6

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

Minnesota currently has 1 wins against Detroit and 2 losses.
  Minnesota wins 10 additional games against Detroit and loses 0.
  Minnesota wins the series 11 games to 2

Minnesota currently has 1 wins against Kansas City and 3 losses.
  Minnesota wins 9 additional games against Kansas City and loses 0.
  Minnesota wins the series 10 games to 3

Chicago wins 52 games agains teams outside the division and loses 24.
Cleveland wins 77 games agains teams outside the division and loses 0.
Detroit wins 70 games agains teams outside the division and loses 0.
Kansas City wins 58 games agains teams outside the division and loses 19.
Minnesota wins 80 games agains teams outside the division and loses 0.

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