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Restructuring and Related Charges (Summary) (Details) - USD ($)
$ in Thousands
12 Months Ended
Aug. 31, 2019
Aug. 31, 2018
Aug. 31, 2017
Restructuring Cost and Reserve [Line Items]      
Restructuring and related charges $ 25,914 $ 36,902 $ 160,395
EMS      
Restructuring Cost and Reserve [Line Items]      
Restructuring and related charges 21,500 16,300 51,300
DMS      
Restructuring Cost and Reserve [Line Items]      
Restructuring and related charges 2,600 16,600 82,400
Non-allocated charges      
Restructuring Cost and Reserve [Line Items]      
Restructuring and related charges 1,800 4,000 26,700
Employee severance and benefit costs      
Restructuring Cost and Reserve [Line Items]      
Restructuring and related charges 16,029 16,269 56,834
Lease costs      
Restructuring Cost and Reserve [Line Items]      
Restructuring and related charges (41) 1,596 3,966
Asset write-off costs      
Restructuring Cost and Reserve [Line Items]      
Restructuring and related charges (3,566) 16,264 94,346
Other costs      
Restructuring Cost and Reserve [Line Items]      
Restructuring and related charges $ 13,492 $ 2,773 $ 5,249