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Special Charges (Details) - USD ($)
$ in Millions
 12 Months Ended
Aug. 31, 2020
Aug. 31, 2019
Aug. 31, 2018
Restructuring Cost and Reserve [Line Items]      
Special charges $ 20.0 $ 1.8 $ 5.6
Restructuring Reserve [Roll Forward]      
Remaining balance of severance reserve 1.9    
Severance costs 9.3    
Payments made during the period (8.2)    
Remaining balance of severance reserve 3.0 1.9  
Special Charges      
Restructuring Cost and Reserve [Line Items]      
Severance and employee-related costs 9.3 (0.5) 5.4
ROU lease asset impairment charges 7.4 0.0 0.0
Other restructuring costs 3.3 2.3 0.2
Special charges 20.0 1.8 $ 5.6
Fiscal 2020 Actions      
Restructuring Reserve [Roll Forward]      
Remaining balance of severance reserve 0.0    
Severance costs 9.5    
Payments made during the period (6.5)    
Remaining balance of severance reserve 3.0 0.0  
Fiscal 2019 Actions      
Restructuring Reserve [Roll Forward]      
Remaining balance of severance reserve 1.3    
Severance costs 0.0    
Payments made during the period (1.3)    
Remaining balance of severance reserve 0.0 1.3  
Fiscal 2018 Actions      
Restructuring Reserve [Roll Forward]      
Remaining balance of severance reserve 0.6    
Severance costs (0.2)    
Payments made during the period (0.4)    
Remaining balance of severance reserve $ 0.0 $ 0.6