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Furniture, Equipment and Leasehold Improvements, Net - Schedule of Furniture, Equipment and Leasehold Improvements (Details) - USD ($)
$ in Thousands
3 Months Ended
Dec. 31, 2024
Dec. 31, 2023
Furniture, equipment and leasehold improvements [Abstract]    
Furniture, equipment and leasehold improvements, gross $ 400,900 $ 494,546
Less: Accumulated depreciation and amortization (152,227) (318,198)
Furniture, equipment and leasehold improvements, net 248,673 176,348
Gain (loss) on disposition of assets 3,100  
New York City    
Furniture, equipment and leasehold improvements [Abstract]    
Gain (loss) on disposition of assets 201,800  
Furniture and equipment    
Furniture, equipment and leasehold improvements [Abstract]    
Furniture, equipment and leasehold improvements, gross 151,478 168,415
Leasehold improvements    
Furniture, equipment and leasehold improvements [Abstract]    
Furniture, equipment and leasehold improvements, gross $ 249,422 $ 326,131