Goodwill - Changes in Carrying Amount of Goodwill, by Reportable Segment (Detail) - USD ($) $ in Thousands	3 Months Ended
	Nov. 30, 2025	Aug. 31, 2025
Goodwill [Line Items]
Goodwill beginning balance	$ 1,657,612	$ 1,617,626
Transfers		0
Acquisitions and purchase price allocation adjustments	15,071	30,662
Translation adjustments and other	(7,963)	9,324
Goodwill ending balance	1,664,720	1,657,612
CPG Segment
Goodwill [Line Items]
Goodwill beginning balance	523,526	484,955
Transfers		33,669
Acquisitions and purchase price allocation adjustments	4,167	0
Translation adjustments and other	(2,841)	4,902
Goodwill ending balance	524,852	523,526
PCG Segment
Goodwill [Line Items]
Goodwill beginning balance	333,908	223,673
Transfers		107,250
Acquisitions and purchase price allocation adjustments	10,419	333
Translation adjustments and other	(1,157)	2,652
Goodwill ending balance	343,170	333,908
Consumer Segment
Goodwill [Line Items]
Goodwill beginning balance	800,178	768,079
Transfers		0
Acquisitions and purchase price allocation adjustments	485	30,329
Translation adjustments and other	(3,965)	1,770
Goodwill ending balance	796,698	800,178
SPG Segments
Goodwill [Line Items]
Goodwill beginning balance	0	140,919
Transfers		(140,919)
Acquisitions and purchase price allocation adjustments		0
Translation adjustments and other		0
Goodwill ending balance		$ 0