Unit-Based Compensation Arrangements - Additional Information (Details) - USD ($) $ in Thousands	3 Months Ended			6 Months Ended
	Mar. 30, 2024	Dec. 30, 2023	Mar. 25, 2023	Mar. 30, 2024	Mar. 25, 2023	Sep. 30, 2023
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]
Restricted unit awards vesting percentage				33.33%
Distribution Equivalent Rights Plan [Member]
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]
Compensation expense	$ 373		$ 336	$ 748	$ 671
Distribution Equivalent Rights Plan, terms				On January 17, 2017, the Partnership adopted the Distribution Equivalent Rights Plan (the “DER Plan”), as amended on November 8, 2022, which gives the Compensation Committee discretion to award distribution equivalent rights (“DERs”) to executive officers of the Partnership. Once awarded, DERs entitle the grantee to a cash payment each time the Board of Supervisors declares a cash distribution on the Partnership’s Common Units, which cash payment will be equal to an amount calculated by multiplying the number of unvested restricted units and unvested phantom units which are held by the grantee on the record date of the distribution, by the amount of the declared distribution per Common Unit.
Phantom Equity Plan [Member]
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]
Compensation expense	2,622		902	$ 4,641	1,554
Liability included within accrued employment and benefit costs (or other liabilities, as applicable) related to estimated future payments under the LTIP	6,576			6,576		$ 3,668
Restricted Stock Units (RSUs) [Member]
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]
Unrecognized compensation cost	5,750			$ 5,750
Weighted-average recognition period of compensation cost				1 year
Compensation expense	$ 1,919		1,889	$ 4,564	4,360
Restricted Stock Units (RSUs) [Member] | Maximum [Member]
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]
Total number of Common Units authorized for issuance (in units)	1,800,000			1,800,000
2018 Restricted Unit Plan [Member]
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]
Additional number of Common Units authorized for issuance (in units)				1,725,000
Restricted Unit Plans, terms of award				Unless otherwise determined by the Compensation Committee of the Partnership’s Board of Supervisors (the “Compensation Committee”) on or before the grant date, one-third of all outstanding awards under the Restricted Unit Plan will vest on each of the first three anniversaries of the award grant date. Participants in the Restricted Unit Plan are not eligible to receive quarterly distributions on, or vote, their respective restricted units until vested. Restricted units cannot be sold or transferred prior to vesting. The value of each restricted unit is established by the market price of the Common Unit on the date of grant, net of estimated future distributions during the vesting period. Restricted units are subject to forfeiture in certain circumstances as defined in the Restricted Unit Plan. Compensation expense for the unvested awards is recognized ratably over the vesting periods and is net of estimated forfeitures.
Awards Granted		455,655		455,655
Aggregate grant date fair value of restricted units awarded				$ 6,687
2018 Restricted Unit Plan [Member] | Maximum [Member]
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]
Total number of Common Units authorized for issuance (in units)	3,525,000			3,525,000
Long-Term Incentive Plan [Member]
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]
Long-Term Incentive Plan, terms of award				The LTIP is a non-qualified, unfunded, long-term incentive plan for executive officers and key employees that provides for payment, in the form of cash, of an award of equity-based compensation at the end of a three-year performance period.
Measurement period of average distribution coverage ratio				3 years
Long-Term Incentive Plan, compensation earned, description				The level of compensation earned under the fiscal 2021 award was evaluated using two separate measurement components: (i) 75% weight based on the level of average distributable cash flow of the Partnership over the three-year measurement period; and (ii) 25% weight based on the achievement of certain operating and strategic objectives, set by the Compensation Committee, over that award’s three-year measurement period. The level of compensation earned under the fiscal 2022 award and awards thereafter, is also evaluated using two separate measurement components: (i) 50% weight based on the level of average distributable cash flow of the Partnership over the three-year measurement period; and (ii) 50% weight based on the achievement of certain operating and strategic objectives, set by the Compensation Committee for that award’s three-year measurement period.
Compensation expense (income)	$ 1,207		(192)	$ 3,669	$ 1,704
Liability included within accrued employment and benefit costs (or other liabilities, as applicable) related to estimated future payments under the LTIP	11,216			$ 11,216		$ 11,952
Cash payouts	$ 4,405		$ 3,129