Goodwill and Intangible Assets - Goodwill (Details) $ in Thousands	6 Months Ended
	Apr. 03, 2022 USD ($)
Goodwill
Balance at beginning of the period	$ 1,108,578
Goodwill reallocation	0
Acquisition activity	49,577
Translation and adjustments	468
Balance at end of the period	1,158,623
GSG
Goodwill
Balance at beginning of the period	538,433
Goodwill reallocation	(51,497)
Acquisition activity	23,024
Translation and adjustments	443
Balance at end of the period	510,403
CIG
Goodwill
Balance at beginning of the period	570,145
Goodwill reallocation	51,497
Acquisition activity	26,553
Translation and adjustments	25
Balance at end of the period	$ 648,220