Debt - Narrative (Details)			12 Months Ended
	Mar. 30, 2024 USD ($)	Nov. 17, 2023 USD ($)	Sep. 27, 2025 USD ($)	Sep. 28, 2024 USD ($)	Sep. 30, 2023 USD ($)	Nov. 16, 2023 USD ($)
Debt Instrument [Line Items]
Basis spread on variable rate (as a percent)			0.10%
Loss on debt refinancing or modification			$ 0	$ (1,558,000)	$ (537,000)
Interest expense			7,200,000	10,600,000	$ 18,000,000.0
Credit Agreement | Line of Credit
Debt Instrument [Line Items]
Maximum borrowing capacity		$ 250,000,000
Debt term		5 years
Total net leverage ratio (TNLR)		3.00
Fixed charge coverage ratio		1.20
Lender fees and other issuance costs		$ 3,100,000
Lender fees and other issuance costs		1,900,000
Loss on debt refinancing or modification		400,000
Discount (premium), net		$ 800,000
Credit Agreement | Line of Credit | Minimum
Debt Instrument [Line Items]
Commitment fee (as a percentage)		0.25%
Credit Agreement | Line of Credit | Maximum
Debt Instrument [Line Items]
Commitment fee (as a percentage)		0.45%
Credit Agreement | Line of Credit | Letters of Credit
Debt Instrument [Line Items]
Maximum borrowing capacity		$ 25,000,000
Credit Agreement | Line of Credit | Term loan
Debt Instrument [Line Items]
Face amount		100,000,000
Percentage of term loan facility outstanding	5.00%
Proceeds from long-term lines of credit	$ 100,000,000
Credit Agreement | Line of Credit | Term loan | Minimum
Debt Instrument [Line Items]
Face amount		100,000,000
Credit Agreement | Line of Credit | Revolving Credit Facility
Debt Instrument [Line Items]
Maximum borrowing capacity		5,000,000
Proceeds from long-term lines of credit	36,200,000
Credit Agreement | Revolving Credit Facility
Debt Instrument [Line Items]
Maximum borrowing capacity		$ 150,000,000
Senior Credit Facility | Senior Term Loan
Debt Instrument [Line Items]
Long-term line of credit			$ 91,300,000	$ 96,300,000
Stated interest rate (as a percent)			6.10%	6.90%
Weighted average interest rate (as a percent)			6.60%	8.20%
Senior Revolving Credit Facility | Line of Credit | Letters of Credit
Debt Instrument [Line Items]
Line of credit, amount outstanding			$ 8,300,000
Remaining borrowing capacity			141,700,000
Senior Revolving Credit Facility | Line of Credit | Revolving Credit Facility
Debt Instrument [Line Items]
Line of credit, amount outstanding			$ 0
Previous Credit Agreement
Debt Instrument [Line Items]
Long-term debt	$ 131,800,000
Previous Credit Agreement | Line of Credit
Debt Instrument [Line Items]
Lender fees and other issuance costs						$ 1,100,000