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Restructuring and Related Charges - Narrative (Details) - USD ($)
$ in Thousands
3 Months Ended 9 Months Ended
May 31, 2019
May 31, 2018
May 31, 2019
May 31, 2018
Restructuring Cost and Reserve [Line Items]        
Restructuring and related charges $ 9,340 $ 12,647 $ 16,182 $ 29,462
2017 Restructuring Plan        
Restructuring Cost and Reserve [Line Items]        
Restructuring and related charges     13,333  
Total pre-tax restructuring and other related costs expected to be recognized 195,000   195,000  
EMS        
Restructuring Cost and Reserve [Line Items]        
Restructuring and related charges 7,600 4,600 12,300 12,600
DMS        
Restructuring Cost and Reserve [Line Items]        
Restructuring and related charges 0 5,800 2,100 13,800
Corporate and Other [Member]        
Restructuring Cost and Reserve [Line Items]        
Restructuring and related charges $ 1,700 $ 2,200 $ 1,800 $ 3,100