Intangible Assets - Identifiable Intangible Assets (Details) - USD ($) $ in Thousands	3 Months Ended
	Nov. 30, 2022	Aug. 31, 2022
Finite-Lived Intangible Assets [Line Items]
Gross carrying amount	$ 2,146,547	$ 2,134,480
Accumulated amortization	263,564	238,571
Net carrying amount	$ 1,882,983	1,895,909
ABA business process
Finite-Lived Intangible Assets [Line Items]
Estimated useful life	36 years
Gross carrying amount	$ 1,583,000	1,583,000
Accumulated amortization	32,979	21,986
Net carrying amount	1,550,021	1,561,014
Client relationships
Finite-Lived Intangible Assets [Line Items]
Gross carrying amount	264,742	263,163
Accumulated amortization	59,313	55,405
Net carrying amount	205,429	207,758
Software technology
Finite-Lived Intangible Assets [Line Items]
Gross carrying amount	123,584	122,363
Accumulated amortization	100,609	96,567
Net carrying amount	22,975	25,796
Developed technology
Finite-Lived Intangible Assets [Line Items]
Gross carrying amount	89,081	80,956
Accumulated amortization	37,870	33,676
Net carrying amount	$ 51,211	47,280
Acquired databases
Finite-Lived Intangible Assets [Line Items]
Estimated useful life	15 years
Gross carrying amount	$ 46,000	46,000
Accumulated amortization	2,300	1,533
Net carrying amount	43,700	44,467
Data content
Finite-Lived Intangible Assets [Line Items]
Gross carrying amount	33,389	32,305
Accumulated amortization	26,153	24,973
Net carrying amount	$ 7,236	7,332
Client relationships
Finite-Lived Intangible Assets [Line Items]
Estimated useful life	15 years
Gross carrying amount	$ 6,751	6,693
Accumulated amortization	4,340	4,431
Net carrying amount	$ 2,411	$ 2,262
Minimum | Client relationships
Finite-Lived Intangible Assets [Line Items]
Estimated useful life	8 years
Minimum | Software technology
Finite-Lived Intangible Assets [Line Items]
Estimated useful life	5 years
Minimum | Developed technology
Finite-Lived Intangible Assets [Line Items]
Estimated useful life	3 years
Minimum | Data content
Finite-Lived Intangible Assets [Line Items]
Estimated useful life	5 years
Maximum | Client relationships
Finite-Lived Intangible Assets [Line Items]
Estimated useful life	26 years
Maximum | Software technology
Finite-Lived Intangible Assets [Line Items]
Estimated useful life	9 years
Maximum | Developed technology
Finite-Lived Intangible Assets [Line Items]
Estimated useful life	5 years
Maximum | Data content
Finite-Lived Intangible Assets [Line Items]
Estimated useful life	20 years