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Unit-Based Compensation Arrangements - Summary of Activity For Restricted Units Plans (Details) - 2018 Restricted Unit Plan [Member]
 3 Months Ended
Dec. 28, 2024
$ / shares
shares
Units [Rollforward]  
Outstanding, beginning of period (in units) | shares 1,100,278
Awarded (in units) | shares 477,667
Forfeited (in units) | shares (15,582)
Vested (in units) | shares (574,782) [1]
Outstanding, ending of period (in units) | shares 987,581
Weighted Average Grant Date Fair Value Per Unit [Abstract]  
Outstanding, beginning of period (in dollars per unit) | $ / shares $ 13.37
Awarded (in dollars per unit) | $ / shares 14.9
Forfeited (in dollars per unit) | $ / shares (13.59)
Vested (in dollars per unit) | $ / shares (13.29) [1]
Outstanding, end of period (in dollars per unit) | $ / shares $ 14.15
[1] During fiscal 2025, the Partnership withheld 156,540 Common Units from participants for income tax withholding purposes for those executive officers of the Partnership whose shares of restricted units vested during the period