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Segment Information - Schedule of Total Revenues, Segment Operating Profit and Total Asset for Reporting Segment (Details) - USD ($) $ in Thousands | 3 Months Ended
--- | ---
Dec. 30, 2022 | Dec. 31, 2021
Segment Reporting Information [Line Items] |  |
Revenues | $ 3,798,668 | $ 3,380,625
Total Segment Operating Profit | 237,805 | 177,333
Restructuring, Transaction and Other Charges | (40,342) | (83,566)
Total Other Income (Expense), net | (40,324) | (8,243)
Earnings from Continuing Operations Before Taxes | 197,481 | 169,090
Amortization of intangible assets | 49,773 |
Real estate impairment charges | 27,100 | 72,300
Gain related to cost-method Investments |  | 6,900
Operating Segments |  |
Segment Reporting Information [Line Items] |  |
Total Segment Operating Profit | 371,833 | 366,259
Corporate |  |
Segment Reporting Information [Line Items] |  |
Other Corporate Expenses | (93,686) | (105,360)
Corporate | Other Expense |  |
Segment Reporting Information [Line Items] |  |
Amortization of intangible assets | 49,800 | 46,900
One-time benefit program changes | 15,000 |
Changes in employee benefit programs | 41,000 |
Company technology platforms and other personnel and corporate overhead cost increases | 26,000 |
Critical Mission Solutions | Operating Segments |  |
Segment Reporting Information [Line Items] |  |
Revenues | 1,075,175 | 976,777
Total Segment Operating Profit | 82,220 | 91,239
People & Places Solutions | Operating Segments |  |
Segment Reporting Information [Line Items] |  |
Revenues | 2,226,985 | 1,920,997
Total Segment Operating Profit | 226,619 | 188,841
Divergent Solutions | Operating Segments |  |
Segment Reporting Information [Line Items] |  |
Revenues | 214,465 | 192,877
Total Segment Operating Profit | 11,967 | 23,108
PA Consulting | Operating Segments |  |
Segment Reporting Information [Line Items] |  |
Revenues | 282,043 | 289,974
Total Segment Operating Profit | $ 51,027 | $ 63,071

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