Segment Information - Results of Operations (Details) - USD ($) $ in Thousands	3 Months Ended
	Nov. 30, 2021	Nov. 30, 2020	Aug. 31, 2021
Revenues	$ 424,725	$ 388,206
Operating income	122,661	121,031
Capital expenditures	8,583	18,333
Assets	2,254,364		$ 2,224,940
Americas
Revenues	266,913	244,337
Operating income	55,498	56,376
Capital expenditures	7,203	9,560
Assets	1,320,322		1,144,693
EMEA
Revenues	115,003	105,777
Operating income	40,654	40,634
Capital expenditures	110	319
Assets	698,779		842,652
Asia Pacific
Revenues	42,809	38,092
Operating income	26,509	24,021
Capital expenditures	1,270	$ 8,454
Assets	$ 235,263		$ 237,595