Restructuring and Related Charges (Summary) (Details) - USD ($) $ in Thousands	3 Months Ended		6 Months Ended
	Feb. 29, 2020	Feb. 28, 2019	Feb. 29, 2020	Feb. 28, 2019
Restructuring Cost and Reserve [Line Items]
Restructuring and related charges	$ 29,604	$ 817	$ 74,855	$ 6,842
EMS
Restructuring Cost and Reserve [Line Items]
Restructuring and related charges	14,700	300	32,100	4,700
DMS
Restructuring Cost and Reserve [Line Items]
Restructuring and related charges	14,500	500	39,700	2,100
Non-allocated charges
Restructuring Cost and Reserve [Line Items]
Restructuring and related charges	400	0	3,100	0
Employee severance and benefit costs
Restructuring Cost and Reserve [Line Items]
Restructuring and related charges	8,012	3,768	26,793	8,947
Lease costs
Restructuring Cost and Reserve [Line Items]
Restructuring and related charges	6,229	0	6,468	9
Asset write-off costs
Restructuring Cost and Reserve [Line Items]
Restructuring and related charges	9,109	(3,396)	25,425	(3,212)
Other costs
Restructuring Cost and Reserve [Line Items]
Restructuring and related charges	$ 6,254	$ 445	$ 16,169	$ 1,098