Debt - Credit Agreement - Additional Information (Details) - USD ($)	3 Months Ended			12 Months Ended
	Jun. 27, 2020	Mar. 28, 2020	Dec. 28, 2019	Sep. 30, 2022	Sep. 30, 2021	Sep. 30, 2020	Feb. 13, 2020
Debt Instrument [Line Items]
Credit facility amount							$ 1,000,000,000
Voting interest in domestic subsidiaries pledged against credit facility				100.00%
Voting interest in foreign subsidiaries pledged against credit facility				65.00%
Leverage ratio, actual				1.79
Senior debt leverage ratio, actual				0.49
Fixed charge coverage ratio, actual				14.21
Financing costs				$ 0	$ 0	$ 17,107,000
Interest expense				54,300,000	50,500,000	76,400,000
Periodic interest payment				$ 48,500,000	$ 45,200,000	$ 60,600,000
Amount paid in penalties for the early redemption of the 2024 notes	$ 15,000,000.0
Interest rate during period				3.40%	3.30%	4.30%
Line of Credit
Debt Instrument [Line Items]
Line of credit facility, maximum borrowing capacity expansion amount							$ 500,000,000
Unused commitments under credit facility				$ 641,000,000.0
Credit facility maturity date				Feb. 13, 2025
Basis spread on Federal Reserve Bank of New York (FRBNY) rate				0.50%
Basis spread on adjusted LIBOR				1.00%
Investment limit in foreign subsidiaries				$ 100,000,000
Cash investment limit for acquisition of business				$ 200,000,000
Total leverage ratio				4.50
Senior secured leverage ratio				3.00
Minimum fixed charge coverage ratio allowed under debt covenant				3.00
Financing costs		$ 2,000,000.0	$ 1,000,000.0
Line of Credit | Minimum
Debt Instrument [Line Items]
Variable interest rate, length of time between updates				30 days
Credit facility commitment fees percentage				0.175%
Line of Credit | Minimum | London Interbank Offered Rate (LIBOR)
Debt Instrument [Line Items]
Basis spread on variable rate				1.25%
Line of Credit | Minimum | Base Rate
Debt Instrument [Line Items]
Basis spread on variable rate				0.25%
Line of Credit | Maximum
Debt Instrument [Line Items]
Variable interest rate, length of time between updates				180 days
Credit facility commitment fees percentage				0.30%
Line of Credit | Maximum | London Interbank Offered Rate (LIBOR)
Debt Instrument [Line Items]
Basis spread on variable rate				1.75%
Line of Credit | Maximum | Base Rate
Debt Instrument [Line Items]
Basis spread on variable rate				0.75%
Secured Debt | Revolving Loan, Reset Period One
Debt Instrument [Line Items]
Interest rate at period end				4.14%