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Acquisitions - Schedule of Purchase Price Allocation (Details) - USD ($) $ in Thousands | Oct. 01, 2023 | Jan. 23, 2023 | Oct. 02, 2022 | Oct. 03, 2021
--- | --- | --- | --- | ---
Business Acquisition [Line Items] |  |  |  |
Goodwill | $ 1,880,244 |  | $ 1,110,412 | $ 1,108,578
RPS Group PLC |  |  |  |
Business Acquisition [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 |  | 36,388 |  |
Other long-term assets |  | 1,061 |  |
Total assets acquired |  | 572,551 |  |
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 |  | (18,571) |  |
Deferred tax liabilities |  | (41,613) |  |
Total liabilities assumed |  | (444,629) |  |
Fair value of net assets acquired |  | 127,922 |  |
Goodwill |  | 656,287 |  |
Total purchase consideration |  | $ 784,209 |  |

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