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Special Charges (Details) - USD ($)
$ in Millions
12 Months Ended
Aug. 31, 2019
Aug. 31, 2018
Aug. 31, 2017
Restructuring Cost and Reserve [Line Items]      
Special charges $ 1.8 $ 5.6 $ 11.3
Restructuring Reserve [Roll Forward]      
Remaining balance of severance reserve 10.1    
Payments made during the period (7.7)    
Remaining balance of severance reserve 1.9 10.1  
Special Charges      
Restructuring Cost and Reserve [Line Items]      
Special charges 1.8 5.6 11.3
Consolidation of facilities and reduction in employee headcount      
Restructuring Cost and Reserve [Line Items]      
Special charges   10.6  
Streamlining activities related to sale of business      
Restructuring Cost and Reserve [Line Items]      
Special charges   (5.0)  
Severance and employee-related costs      
Restructuring Reserve [Roll Forward]      
Incurred costs (0.5)    
Severance and employee-related costs | Special Charges      
Restructuring Cost and Reserve [Line Items]      
Special charges (0.5) 5.4 11.2
Other restructuring costs | Special Charges      
Restructuring Cost and Reserve [Line Items]      
Special charges 2.3 0.2 $ 0.1
Fiscal 2019 Actions      
Restructuring Reserve [Roll Forward]      
Remaining balance of severance reserve 0.0    
Payments made during the period (0.6)    
Remaining balance of severance reserve 1.3 0.0  
Fiscal 2019 Actions | Severance and employee-related costs      
Restructuring Reserve [Roll Forward]      
Incurred costs 1.9    
Fiscal 2018 Actions      
Restructuring Reserve [Roll Forward]      
Remaining balance of severance reserve 9.2    
Payments made during the period (6.6)    
Remaining balance of severance reserve 0.6 9.2  
Fiscal 2018 Actions | Severance and employee-related costs      
Restructuring Reserve [Roll Forward]      
Incurred costs (2.0)    
Fiscal 2017 Actions      
Restructuring Reserve [Roll Forward]      
Remaining balance of severance reserve 0.9    
Payments made during the period (0.5)    
Remaining balance of severance reserve 0.0 $ 0.9  
Fiscal 2017 Actions | Severance and employee-related costs      
Restructuring Reserve [Roll Forward]      
Incurred costs $ (0.4)