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Joint Ventures and VIE's and Other Investments (Details) - USD ($)
$ in Thousands
 3 Months Ended 9 Months Ended
Jul. 01, 2022
Jul. 02, 2021
Jul. 01, 2022
Jul. 02, 2021
Oct. 01, 2021
Mar. 02, 2021
Variable Interest Entity [Line Items]            
Consolidated assets $ 14,722,210   $ 14,722,210   $ 14,632,609  
Amount by which equity method investments exceeded share of venture net assets 36,100   36,100      
Income from equity method investments     (14,222) $ (3,261)    
Impairment of long-lived assets and equity method investment     74,585 40,138    
PA Consulting Employees            
Variable Interest Entity [Line Items]            
Ownership interest of employees           35.00%
PA Consulting Group Limited            
Variable Interest Entity [Line Items]            
Percentage of outstanding shares of common and preferred stock acquired           65.00%
AWE Management Ltd            
Variable Interest Entity [Line Items]            
Percentage of ownership interest in joint venture         24.50%  
Impairment of long-lived assets and equity method investment   $ 38,900   38,900    
C3            
Variable Interest Entity [Line Items]            
Gain on sale of stock     (49,600)      
Consolidated Joint Venture | Variable Interest Entity, Primary Beneficiary            
Variable Interest Entity [Line Items]            
Consolidated assets 359,000   359,000   $ 289,800  
Consolidated liabilities 221,200   221,200   220,800  
Unconsolidated Joint Venture | VIE, not primary beneficiary            
Variable Interest Entity [Line Items]            
Consolidated assets 113,100   113,100   115,100  
Consolidated liabilities 134,400   134,400   129,500  
Equity method investments 98,500   98,500   121,300  
Income from equity method investments 10,800 $ 16,600 30,100 $ 46,900    
Accounts receivable from unconsolidated joint ventures accounted for under the equity method $ 23,200   $ 23,200   $ 19,700