Goodwill and Intangible Assets - Goodwill (Details) $ in Thousands	6 Months Ended
	Apr. 02, 2023 USD ($)
Goodwill
Balance at beginning of the period	$ 1,110,412
Acquisition activity	723,717
Translation adjustments	22,292
Balance at end of the period	1,856,421
GSG
Goodwill
Balance at beginning of the period	519,102
Acquisition activity	104,720
Translation adjustments	3,380
Balance at end of the period	627,202
CIG
Goodwill
Balance at beginning of the period	591,310
Acquisition activity	618,997
Translation adjustments	18,912
Balance at end of the period	$ 1,229,219