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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

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