Intangible Assets - Identifiable Intangible Assets (Details) - USD ($) $ in Thousands	9 Months Ended
	May 31, 2022	Aug. 31, 2021
Finite-Lived Intangible Assets [Line Items]
Gross carrying amount	$ 2,134,940	$ 323,880
Accumulated amortization	222,202	188,894
Net carrying amount	$ 1,912,738	134,986
Revenues-generating contract
Finite-Lived Intangible Assets [Line Items]
Estimated useful life	36 years
Gross carrying amount	$ 1,583,000	0
Accumulated amortization	10,993	0
Net carrying amount	1,572,007	0
Client relationships
Finite-Lived Intangible Assets [Line Items]
Gross carrying amount	264,931	101,077
Accumulated amortization	53,485	49,139
Net carrying amount	211,446	51,938
Software technology
Finite-Lived Intangible Assets [Line Items]
Gross carrying amount	124,710	121,556
Accumulated amortization	95,725	87,207
Net carrying amount	28,985	34,349
Developed technology
Finite-Lived Intangible Assets [Line Items]
Gross carrying amount	73,704	57,666
Accumulated amortization	30,574	21,278
Net carrying amount	$ 43,130	36,388
Acquired databases
Finite-Lived Intangible Assets [Line Items]
Estimated useful life	15 years
Gross carrying amount	$ 46,000	0
Accumulated amortization	767	0
Net carrying amount	45,233	0
Data content
Finite-Lived Intangible Assets [Line Items]
Gross carrying amount	35,814	36,681
Accumulated amortization	26,186	26,835
Net carrying amount	$ 9,628	9,846
Trade names
Finite-Lived Intangible Assets [Line Items]
Estimated useful life	15 years
Gross carrying amount	$ 6,781	6,900
Accumulated amortization	4,472	4,435
Net carrying amount	$ 2,309	$ 2,465
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