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Restructuring and Related Charges (Summary) (Details) - USD ($)
$ in Thousands
12 Months Ended
Aug. 31, 2018
Aug. 31, 2017
Aug. 31, 2016
Restructuring Cost and Reserve [Line Items]      
Restructuring and related charges $ 36,902 $ 160,395 $ 11,369
EMS      
Restructuring Cost and Reserve [Line Items]      
Restructuring and related charges 16,300 51,300 10,700
DMS      
Restructuring Cost and Reserve [Line Items]      
Restructuring and related charges 16,600 82,400 800
Non-allocated charges      
Restructuring Cost and Reserve [Line Items]      
Restructuring and related charges 4,000 26,700 (100)
Employee severance and benefit costs      
Restructuring Cost and Reserve [Line Items]      
Restructuring and related charges 16,269 56,834 8,845
Lease costs      
Restructuring Cost and Reserve [Line Items]      
Restructuring and related charges 1,596 3,966 (43)
Asset write-off costs      
Restructuring Cost and Reserve [Line Items]      
Restructuring and related charges 16,264 94,346 1,170
Other related costs      
Restructuring Cost and Reserve [Line Items]      
Restructuring and related charges $ 2,773 $ 5,249 $ 1,397