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Borrowings - Schedule of Long-term Debt (Details) £ in Thousands, $ in Thousands	12 Months Ended
	Oct. 01, 2021 USD ($)	Oct. 01, 2021 GBP (£)	Oct. 02, 2020 USD ($)
Debt Instrument [Line Items]
Total Long-term debt, net	$ 2,839,933		$ 1,676,941
Less: Current Portion	(53,456)		0
Less: Deferred Financing Fees	(5,069)		(1,679)
Term Loan Facility 2021
Debt Instrument [Line Items]
Total Long-term debt, net	1,081,724		0
Term Loan Facility 2020
Debt Instrument [Line Items]
Total Long-term debt, net	$ 988,940		1,025,826
Quarterly principal payment, percent of aggregate borrowings	1.25%
Quarterly principal payment	$ 9,125	£ 3,125
Senior Notes, Series A
Debt Instrument [Line Items]
Total Long-term debt, net	$ 190,000		190,000
Stated interest rate	4.27%
Senior Notes, Series B
Debt Instrument [Line Items]
Total Long-term debt, net	$ 180,000		180,000
Stated interest rate	4.42%
Senior Notes, Series C
Debt Instrument [Line Items]
Total Long-term debt, net	$ 130,000		130,000
Stated interest rate	4.52%
Revolving Credit Facility
Debt Instrument [Line Items]
Total Long-term debt, net	$ 327,794		$ 152,794
Eurocurrency Interest Rate | Minimum | Term Loan Facility 2021
Debt Instrument [Line Items]
Margin added to variable rate interest rate	0.875%	0.875%
Eurocurrency Interest Rate | Minimum | Term Loan Facility 2020
Debt Instrument [Line Items]
Margin added to variable rate interest rate	0.875%	0.875%
Eurocurrency Interest Rate | Minimum | Revolving Credit Facility
Debt Instrument [Line Items]
Margin added to variable rate interest rate	0.875%	0.875%
Eurocurrency Interest Rate | Maximum | Term Loan Facility 2021
Debt Instrument [Line Items]
Margin added to variable rate interest rate	1.625%	1.625%
Eurocurrency Interest Rate | Maximum | Term Loan Facility 2020
Debt Instrument [Line Items]
Margin added to variable rate interest rate	1.50%	1.50%
Eurocurrency Interest Rate | Maximum | Revolving Credit Facility
Debt Instrument [Line Items]
Margin added to variable rate interest rate	1.625%	1.625%
Base Interest Rate | Minimum | Term Loan Facility 2021
Debt Instrument [Line Items]
Margin added to variable rate interest rate	0.00%	0.00%
Base Interest Rate | Minimum | Term Loan Facility 2020
Debt Instrument [Line Items]
Margin added to variable rate interest rate	0.00%	0.00%
Base Interest Rate | Minimum | Revolving Credit Facility
Debt Instrument [Line Items]
Margin added to variable rate interest rate	0.00%	0.00%
Base Interest Rate | Maximum | Term Loan Facility 2021
Debt Instrument [Line Items]
Margin added to variable rate interest rate	0.625%	0.625%
Base Interest Rate | Maximum | Term Loan Facility 2020
Debt Instrument [Line Items]
Margin added to variable rate interest rate	50.00%	50.00%
Base Interest Rate | Maximum | Revolving Credit Facility
Debt Instrument [Line Items]
Margin added to variable rate interest rate	0.625%	0.625%
LIBOR | Term Loan Facility 2021
Debt Instrument [Line Items]
Margin added to variable rate interest rate	1.43%	1.43%
LIBOR | Minimum | Term Loan Facility 2020
Debt Instrument [Line Items]
Margin added to variable rate interest rate	1.45%	1.45%
LIBOR | Minimum | Revolving Credit Facility
Debt Instrument [Line Items]
Margin added to variable rate interest rate	1.45%	1.45%
LIBOR | Maximum | Term Loan Facility 2020
Debt Instrument [Line Items]
Margin added to variable rate interest rate	1.37%	1.37%
LIBOR | Maximum | Revolving Credit Facility
Debt Instrument [Line Items]
Margin added to variable rate interest rate	1.39%	1.39%

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