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Borrowings - Schedule of Long-term Debt (Details) £ in Thousands, $ in Thousands	3 Months Ended	9 Months Ended
	Dec. 31, 2021	Jul. 01, 2022 USD ($)	Jul. 01, 2022 GBP (£)	Oct. 01, 2021 USD ($)
Debt Instrument [Line Items]
Long-term Debt		$ 3,520,494		$ 2,839,933
Less: Current Portion (5)		(51,630)		(53,456)
Less: Deferred Financing Fees		(3,863)		(5,069)
2021 Term Loan Facility
Debt Instrument [Line Items]
Long-term Debt		$ 986,760		1,081,724
2021 Term Loan Facility | LIBOR
Debt Instrument [Line Items]
Debt instrument, basis spread on variable rate	1.43%	2.53%	2.53%
2021 Term Loan Facility | SONIA Rate
Debt Instrument [Line Items]
Debt instrument, basis spread on variable rate		2.60%	2.60%
2021 Term Loan Facility | Minimum | Eurodollar
Debt Instrument [Line Items]
Debt instrument, basis spread on variable rate		0.875%	0.875%
2021 Term Loan Facility | Minimum | Base Rate
Debt Instrument [Line Items]
Debt instrument, basis spread on variable rate		0.00%	0.00%
2021 Term Loan Facility | Minimum | SONIA Rate
Debt Instrument [Line Items]
Debt instrument, basis spread on variable rate		0.875%	0.875%
2021 Term Loan Facility | Maximum | Eurodollar
Debt Instrument [Line Items]
Debt instrument, basis spread on variable rate		1.625%	1.625%
2021 Term Loan Facility | Maximum | Base Rate
Debt Instrument [Line Items]
Debt instrument, basis spread on variable rate		0.625%	0.625%
2021 Term Loan Facility | Maximum | SONIA Rate
Debt Instrument [Line Items]
Debt instrument, basis spread on variable rate		1.625%	1.625%
2020 Term Loan Facility
Debt Instrument [Line Items]
Long-term Debt		$ 916,433		988,940
Quarterly principal payment, percent of aggregate borrowings		1.25%
Quarterly principal payment		$ 9,125	£ 3,125
2020 Term Loan Facility | LIBOR
Debt Instrument [Line Items]
Debt instrument, basis spread on variable rate	1.45%	3.04%	3.04%
2020 Term Loan Facility | SONIA Rate
Debt Instrument [Line Items]
Debt instrument, basis spread on variable rate		2.60%	2.60%
2020 Term Loan Facility | Minimum | Eurodollar
Debt Instrument [Line Items]
Debt instrument, basis spread on variable rate		0.875%	0.875%
2020 Term Loan Facility | Minimum | Base Rate
Debt Instrument [Line Items]
Debt instrument, basis spread on variable rate		0.00%	0.00%
2020 Term Loan Facility | Minimum | SONIA Rate
Debt Instrument [Line Items]
Debt instrument, basis spread on variable rate		0.875%	0.875%
2020 Term Loan Facility | Maximum | Eurodollar
Debt Instrument [Line Items]
Debt instrument, basis spread on variable rate		1.50%	1.50%
2020 Term Loan Facility | Maximum | Base Rate
Debt Instrument [Line Items]
Debt instrument, basis spread on variable rate		0.50%	0.50%
2020 Term Loan Facility | Maximum | SONIA Rate
Debt Instrument [Line Items]
Debt instrument, basis spread on variable rate		1.625%	1.625%
Senior Notes, Series A
Debt Instrument [Line Items]
Long-term Debt		$ 190,000		190,000
Interest Rate		4.27%
Senior Notes, Series B
Debt Instrument [Line Items]
Long-term Debt		$ 180,000		180,000
Interest Rate		4.42%
Senior Notes, Series C
Debt Instrument [Line Items]
Long-term Debt		$ 130,000		130,000
Interest Rate		4.52%
Revolving Credit Facility
Debt Instrument [Line Items]
Long-term Debt		$ 1,172,794		$ 327,794
Revolving Credit Facility | LIBOR
Debt Instrument [Line Items]
Debt instrument, basis spread on variable rate	1.45%	2.62%	2.62%
Revolving Credit Facility | Minimum | Eurodollar
Debt Instrument [Line Items]
Debt instrument, basis spread on variable rate		0.875%	0.875%
Revolving Credit Facility | Minimum | Base Rate
Debt Instrument [Line Items]
Debt instrument, basis spread on variable rate		0.00%	0.00%
Revolving Credit Facility | Minimum | SONIA Rate
Debt Instrument [Line Items]
Debt instrument, basis spread on variable rate		0.875%	0.875%
Revolving Credit Facility | Maximum | Eurodollar
Debt Instrument [Line Items]
Debt instrument, basis spread on variable rate		1.625%	1.625%
Revolving Credit Facility | Maximum | Base Rate
Debt Instrument [Line Items]
Debt instrument, basis spread on variable rate		0.625%	0.625%
Revolving Credit Facility | Maximum | SONIA Rate
Debt Instrument [Line Items]
Debt instrument, basis spread on variable rate		1.625%	1.625%

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