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Restructuring, Severance and Related Charges (Summary) (Details) - USD ($)
$ in Thousands
3 Months Ended
Nov. 30, 2020
Nov. 30, 2019
Restructuring Cost and Reserve [Line Items]    
Restructuring, severance and related charges $ (1,715) $ 45,251
EMS    
Restructuring Cost and Reserve [Line Items]    
Restructuring, severance and related charges (3,000) 17,400
DMS    
Restructuring Cost and Reserve [Line Items]    
Restructuring, severance and related charges 1,000 25,200
Non-allocated charges    
Restructuring Cost and Reserve [Line Items]    
Restructuring, severance and related charges 300 2,700
Employee severance and benefit costs    
Restructuring Cost and Reserve [Line Items]    
Restructuring, severance and related charges 568 18,781
Lease costs    
Restructuring Cost and Reserve [Line Items]    
Restructuring, severance and related charges (2,873) 239
Asset write-off costs    
Restructuring Cost and Reserve [Line Items]    
Restructuring, severance and related charges (2) 16,316
Other costs    
Restructuring Cost and Reserve [Line Items]    
Restructuring, severance and related charges $ 592 $ 9,915