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Debt (Details) - USD ($)	3 Months Ended
	Dec. 29, 2024	Sep. 29, 2024
Debt Instrument [Line Items]
Principal Debt Payments	$ 0
Current maturities of long-term debt	$ 0	$ 0
Credit Agreement | Secured Term Loan | BH Finance
Debt Instrument [Line Items]
Long-term debt, term (years)	25 years
Long-term debt	$ 445,900,000
Long-term debt, interest rate	9.00%
Credit Agreement | Secured Term Loan | BH Finance | Fair Value, Inputs, Level 2
Debt Instrument [Line Items]
Long-term debt, fair value	$ 383,300,000

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