Segment Information - Results of Operations (Details) - USD ($) $ in Thousands	3 Months Ended		9 Months Ended
	May 31, 2022	May 31, 2021	May 31, 2022	May 31, 2021	Aug. 31, 2021
Revenues	$ 488,751	$ 399,558	$ 1,344,595	$ 1,179,551
Operating income	97,254	117,702	343,263	354,865
Capital expenditures	15,404	18,656	35,950	47,414
Impairment charge	48,998	0	62,985	0
Assets	4,068,564		4,068,564		$ 2,224,940
Americas
Revenues	309,740	253,786	850,312	746,112
Operating income	11,212	51,800	115,613	161,789
Capital expenditures	12,362	8,636	29,911	26,415
Impairment charge	44,400		57,700
Assets	3,246,871		3,246,871		1,144,693
EMEA
Revenues	128,326	106,833	357,920	318,103
Operating income	53,228	41,468	139,826	122,392
Capital expenditures	466	757	828	1,390
Impairment charge	4,100		4,200
Assets	580,070		580,070		842,652
Asia Pacific
Revenues	50,685	38,939	136,363	115,336
Operating income	32,814	24,434	87,824	70,684
Capital expenditures	2,576	$ 9,263	5,211	$ 19,609
Impairment charge	300		300
Assets	$ 241,623		$ 241,623		$ 237,595