Goodwill and Other Intangible Assets - Schedule of Intangible Assets, Net (Details) - USD ($) $ in Thousands	Nov. 30, 2024	Aug. 31, 2024
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Amount	$ 434,492	$ 435,754
Accumulated Amortization	320,062	315,755
Net Carrying Amount	114,430	119,999
Customer Contracts
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Amount	315,632	314,446
Accumulated Amortization	232,075	228,456
Net Carrying Amount	83,557	85,990
Software
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Amount	79,105	81,482
Accumulated Amortization	51,331	51,023
Net Carrying Amount	27,774	30,459
Other Intangible Assets
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Amount	39,755	39,826
Accumulated Amortization	36,656	36,276
Net Carrying Amount	$ 3,099	$ 3,550