Restructuring, Severance and Related Charges (Summary) (Details) - USD ($) $ in Thousands	12 Months Ended
	Aug. 31, 2020	Aug. 31, 2019	Aug. 31, 2018
Restructuring Cost and Reserve [Line Items]
Restructuring, severance and related charges	$ 156,586	$ 25,914	$ 36,902
EMS
Restructuring Cost and Reserve [Line Items]
Restructuring, severance and related charges	61,900	21,500	16,300
DMS
Restructuring Cost and Reserve [Line Items]
Restructuring, severance and related charges	75,600	2,600	16,600
Non-allocated charges
Restructuring Cost and Reserve [Line Items]
Restructuring, severance and related charges	19,100	1,800	4,000
Employee severance and benefit costs
Restructuring Cost and Reserve [Line Items]
Restructuring, severance and related charges	94,031	16,029	16,269
Employee severance and benefit costs | Reduction of Worldwide Workforce
Restructuring Cost and Reserve [Line Items]
Restructuring, severance and related charges	56,600
Restructuring reserve	35,800
Lease costs
Restructuring Cost and Reserve [Line Items]
Restructuring, severance and related charges	7,666	(41)	1,596
Asset write-off costs
Restructuring Cost and Reserve [Line Items]
Restructuring, severance and related charges	32,945	(3,566)	16,264
Other costs
Restructuring Cost and Reserve [Line Items]
Restructuring, severance and related charges	$ 21,944	$ 13,492	$ 2,773