Accounts Payable, Accrued Expenses and Other Liabilities - Components of Other Liabilities (Details) - USD ($) $ in Thousands	Sep. 30, 2023	Dec. 31, 2022	Dec. 31, 2021
Payables and Accruals [Abstract]
Accrued compensation	$ 107,154	$ 95,770
Payroll and other taxes payable	68,285	59,380
Financial guarantee liability	29,322	27,729	$ 25,989
Deferred rent	5,492	5,040
Contingent consideration	20,056	8,278
Other	7,947	0
Total	$ 238,256	$ 196,197