v3.24.1.1.u2
Goodwill and Intangible Assets - Amortization (Details) - USD ($)
$ in Thousands
3 Months Ended 9 Months Ended
May 31, 2024
May 31, 2023
May 31, 2024
May 31, 2023
Aug. 31, 2023
Goodwill and Intangible Assets Disclosure [Abstract]          
Amortization related to intangible assets $ 133,097 $ 101,814 $ 364,353 $ 331,095  
Finite-Lived Intangible Assets, Amortization Expense, Maturity Schedule [Abstract]          
Remainder of 2024 147,127   147,127    
2025 563,055   563,055    
2026 504,392   504,392    
2027 434,977   434,977    
2028 407,243   407,243    
Thereafter 693,171   693,171    
Net Carrying Amount $ 2,749,965   $ 2,749,965   $ 2,072,957