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Special Charges (Details) - USD ($)
$ in Millions
3 Months Ended 9 Months Ended
May 31, 2021
May 31, 2020
May 31, 2021
May 31, 2020
Restructuring Cost and Reserve [Line Items]        
Special charges $ 0.5 $ 3.3 $ 1.5 $ 11.8
Restructuring Reserve [Roll Forward]        
Balance, end of period 1.3   1.3  
Transfer of activities from planned facility closures        
Restructuring Reserve [Roll Forward]        
Balance, beginning of period     3.0  
Severance and employee-related costs     0.4  
Payments made during the period     (2.1)  
Balance, end of period 1.3   1.3  
Severance and employee-related costs        
Restructuring Cost and Reserve [Line Items]        
Special charges 0.5 2.4 0.4 8.1
Relocation and other restructuring costs        
Restructuring Cost and Reserve [Line Items]        
Special charges $ 0.0 $ 0.9 $ 1.1 $ 3.7