Goodwill and Intangible Assets - Narrative (Details) - USD ($) $ in Millions		12 Months Ended
	Jul. 01, 2024	Sep. 29, 2024	Oct. 01, 2023	Oct. 02, 2022
Goodwill [Line Items]
Impairment of goodwill	$ 0.0
Percentage of excess of fair value over carrying value (less than)	72.00%
Amortization expense for intangible assets		$ 50.0	$ 41.2	$ 13.2
Reduction in intangible assets, foreign currency translation adjustment		13.4	0.0
GSG
Goodwill [Line Items]
Gross amounts of goodwill		768.5	677.6
Accumulated impairment		17.7	17.7
CIG
Goodwill [Line Items]
Gross amounts of goodwill		1,417.3	1,341.8
Accumulated impairment		$ 121.5	$ 121.5