Goodwill and Intangible Assets - Narrative (Details) - USD ($)		1 Months Ended	3 Months Ended			12 Months Ended
	Jun. 28, 2021	Sep. 27, 2020	Sep. 27, 2020	Jun. 30, 2020	Sep. 29, 2019	Oct. 03, 2021	Sep. 27, 2020	Sep. 29, 2019
Goodwill [Line Items]
Impairment of goodwill	$ 0		$ 15,800,000			$ 0	$ 15,800,000	$ 7,755,000
Percentage of excess of fair value over carrying value (less than)						150.00%
Carrying value		$ 2,378,558,000	2,378,558,000			$ 2,576,562,000	2,378,558,000
Goodwill		993,498,000	993,498,000		$ 924,820,000	1,108,578,000	993,498,000	924,820,000
Amortization expense for intangible assets						11,500,000	11,600,000	11,600,000
Australia
Goodwill [Line Items]
Percentage negative growth				7.00%
GSG
Goodwill [Line Items]
Impairment of goodwill							0
Goodwill		516,315,000	516,315,000		441,802,000	538,433,000	516,315,000	441,802,000
Gross amounts of goodwill		534,000,000	534,000,000			556,100,000	534,000,000
Accumulated impairment		17,700,000	17,700,000			17,700,000	17,700,000
CIG
Goodwill [Line Items]
Impairment of goodwill							15,800,000
Goodwill		477,183,000	477,183,000		483,018,000	570,145,000	477,183,000	483,018,000
Gross amounts of goodwill		598,700,000	598,700,000			691,600,000	598,700,000
Accumulated impairment						$ 121,500,000
ASP
Goodwill [Line Items]
Impairment of goodwill		15,800,000
Carrying value		144,900,000	144,900,000				144,900,000
Goodwill		$ 95,500,000	$ 95,500,000				$ 95,500,000
RFS
Goodwill [Line Items]
Impairment of goodwill					7,800,000
Carrying value					61,000,000			61,000,000
Goodwill					$ 48,800,000			$ 48,800,000