Acquisitions - Narrative (Details) $ in Thousands, € in Millions	3 Months Ended		6 Months Ended	12 Months Ended
	Mar. 30, 2025 USD ($)	Mar. 30, 2025 EUR (€)	Mar. 30, 2025 USD ($)	Sep. 29, 2024 USD ($)
Business Acquisition [Line Items]
Goodwill	$ 1,913,134		$ 1,913,134	$ 2,046,569
Maximum
Business Acquisition [Line Items]
Significant unobservable input, earn-out period			5 years
Maximum | Existing customer contracts
Business Acquisition [Line Items]
Useful life of intangible assets	12 years		12 years
Minimum
Business Acquisition [Line Items]
Significant unobservable input, earn-out period			3 years
Minimum | Existing customer contracts
Business Acquisition [Line Items]
Useful life of intangible assets	1 year		1 year
Carron Walsh
Business Acquisition [Line Items]
Total purchase price	$ 5,700	€ 5.3
LS Technologies
Business Acquisition [Line Items]
Total purchase price				120,000
Initial cash payments				93,000
Cash holdback related to tax reserve				4,000
Equity interests issued and issuable				23,000
Net tangible assets				12,000
Intangible assets				23,000
Goodwill				85,000
LS Technologies | Maximum
Business Acquisition [Line Items]
Equity interests issued and issuable				$ 60,000
All acquisitions
Business Acquisition [Line Items]
Aggregate maximum of contingent consideration	$ 90,600		$ 90,600