Restructuring, Severance and Related Charges (Summary) (Details) - USD ($) $ in Thousands	3 Months Ended		9 Months Ended
	May 31, 2021	May 31, 2020	May 31, 2021	May 31, 2020
Restructuring Cost and Reserve [Line Items]
Restructuring, severance and related charges	$ 744	$ 69,150	$ 5,655	$ 144,005
Operating Segments | EMS
Restructuring Cost and Reserve [Line Items]
Restructuring, severance and related charges	0	23,700	(400)	55,800
Operating Segments | DMS
Restructuring Cost and Reserve [Line Items]
Restructuring, severance and related charges	600	29,300	5,500	69,000
Other non-allocated assets
Restructuring Cost and Reserve [Line Items]
Restructuring, severance and related charges	100	16,200	600	19,200
Employee severance and benefit costs
Restructuring Cost and Reserve [Line Items]
Restructuring, severance and related charges	483	56,891	3,191	83,684
Lease costs
Restructuring Cost and Reserve [Line Items]
Restructuring, severance and related charges	0	402	(2,873)	6,870
Asset write-off costs
Restructuring Cost and Reserve [Line Items]
Restructuring, severance and related charges	8	6,253	4,598	31,678
Other costs
Restructuring Cost and Reserve [Line Items]
Restructuring, severance and related charges	$ 253	$ 5,604	$ 739	$ 21,773