Restructuring and Related Activities (Details) - USD ($) $ in Thousands	12 Months Ended			26 Months Ended	29 Months Ended
	Aug. 31, 2024	Aug. 31, 2023	Aug. 31, 2022	Aug. 31, 2024	Aug. 31, 2024
Restructuring and Related Activities [Abstract]
Restructuring charges	$ 7,400	$ 7,096	$ 8,135
Restructuring Cost and Reserve [Line Items]
Restructuring charges	7,400	7,096	8,135
ASCEND Restructuring Plan
Restructuring and Related Activities [Abstract]
Restructuring charges	7,843	7,719	3,050	$ 18,600	$ 18,612
Restructuring Cost and Reserve [Line Items]
Restructuring charges	$ 7,843	$ 7,719	$ 3,050	$ 18,600	$ 18,612