Restructuring, Severance and Related Charges (Summary) (Details) - USD ($) $ in Thousands	3 Months Ended		9 Months Ended
	May 31, 2020	May 31, 2019	May 31, 2020	May 31, 2019
Restructuring Cost and Reserve [Line Items]
Restructuring, severance and related charges	$ 69,150	$ 9,340	$ 144,005	$ 16,182
EMS
Restructuring Cost and Reserve [Line Items]
Restructuring, severance and related charges	23,700	7,600	55,800	12,300
DMS
Restructuring Cost and Reserve [Line Items]
Restructuring, severance and related charges	29,300	0	69,000	2,100
Non-allocated charges
Restructuring Cost and Reserve [Line Items]
Restructuring, severance and related charges	16,200	1,700	19,200	1,800
Employee severance and benefit costs
Restructuring Cost and Reserve [Line Items]
Restructuring, severance and related charges	56,891	6,513	83,684	15,460
Lease costs
Restructuring Cost and Reserve [Line Items]
Restructuring, severance and related charges	402	(50)	6,870	(41)
Asset write-off costs
Restructuring Cost and Reserve [Line Items]
Restructuring, severance and related charges	6,253	(343)	31,678	(3,555)
Other costs
Restructuring Cost and Reserve [Line Items]
Restructuring, severance and related charges	5,604	$ 3,220	21,773	$ 4,318
Reduction of Worldwide Workforce | Employee severance and benefit costs
Restructuring Cost and Reserve [Line Items]
Restructuring, severance and related charges	52,300		52,300
Restructuring Reserve	$ 50,900		$ 50,900