Acquisitions and Divestitures - Schedule of Purchase Price Allocation (Details) - USD ($) $ in Thousands	Sep. 28, 2025	Sep. 29, 2024	Oct. 01, 2023	Jan. 23, 2023
Business Combination [Line Items]
Goodwill	$ 2,049,874	$ 2,046,569	$ 1,880,244
RPS Group PLC
Business Combination [Line Items]
Cash and cash equivalents				$ 32,093
Accounts receivable and contract assets				202,303
Prepaid expenses and other current assets				45,999
Income taxes receivables				1,999
Property and equipment				38,435
Right-of-use assets, operating leases				40,179
Intangible assets				174,094
Deferred income taxes				35,084
Other long-term assets				1,061
Total assets acquired				571,247
Account payable				(44,376)
Accrued compensation				(19,073)
Contract liabilities				(46,287)
Income tax payable				(7,083)
Short-term lease liabilities, operating leases				(13,477)
Other current liabilities				(135,474)
Current portion of long-term debt				(91,973)
Long-term lease liabilities, operating leases				(26,702)
Other long-term liabilities				(13,742)
Deferred tax liabilities				(41,613)
Total liabilities assumed				(439,800)
Fair value of net assets acquired				131,447
Goodwill				652,762
Total purchase consideration				$ 784,209