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Goodwill and Intangible Assets - Narrative (Details) - USD ($)		3 Months Ended		9 Months Ended
	Jun. 28, 2021	Jul. 03, 2022	Jun. 27, 2021	Jul. 03, 2022	Jun. 27, 2021	Oct. 04, 2021	Oct. 03, 2021
Goodwill [Line Items]
Impairment of goodwill	$ 0
Percentage of excess of fair value over carrying value (less than)	150.00%					150.00%
Amortization expense		$ 3,700,000	$ 2,200,000	$ 9,600,000	$ 7,800,000
GSG
Goodwill [Line Items]
Gross amounts of goodwill		547,000,000		547,000,000			$ 556,100,000
Accumulated impairment		17,700,000		17,700,000			17,700,000
CIG
Goodwill [Line Items]
Gross amounts of goodwill		743,700,000		743,700,000			691,600,000
Accumulated impairment		$ 121,500,000		$ 121,500,000			$ 121,500,000