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Unit-Based Compensation Arrangements - Summary of Activity In the Restricted Units Plans (Details) - 2018 Restricted Unit Plan [Member] - $ / shares
 12 Months Ended
Sep. 28, 2024
Sep. 30, 2023
Sep. 24, 2022
Units [Rollforward]      
Outstanding, beginning of period (in units) 1,366,362 1,516,229 1,231,863
Awarded (in units) 466,625 571,732 884,658
Forfeited (in units) (1,470) (15,552) (12,845)
Vested (in units) [1] (731,239) (706,047) (587,447)
Outstanding, end of period (in units) 1,100,278 1,366,362 1,516,229
Weighted Average Grant Date Fair Value Per Unit [Abstract]      
Outstanding, beginning of period (in dollars per unit) $ 12.94 $ 13.52 $ 15.26
Awarded (in dollars per unit) 14.77 13.45 12.97
Forfeited (in dollars per unit) (18.44) (13.15) (13.88)
Vested (in dollars per unit) [1] (13.47) (14.59) (16.32)
Outstanding, end of period (in dollars per unit) $ 13.37 $ 12.94 $ 13.52
[1] During fiscal 2024, 2023 and 2022, the Partnership withheld 180,787, 171,840 and 138,039 Common Units, respectively, from participants for income tax withholding purposes for those executive officers of the Partnership whose shares of restricted units vested during the period.