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Debt - Additional Information (Details)
$ in Millions
3 Months Ended 9 Months Ended
Jun. 15, 2020
USD ($)
Apr. 16, 2012
USD ($)
May 31, 2020
USD ($)
May 31, 2020
USD ($)
Feb. 28, 2019
USD ($)
Debt Instrument [Line Items]          
Document Period End Date       May 31, 2020  
Debt Issuance Costs, Noncurrent, Net     $ 0.6 $ 0.6  
Revolving Credit Facility          
Debt Instrument [Line Items]          
Line of Credit Facility, Maximum Borrowing Capacity     400.0 400.0 $ 300.0
Senior Credit Facility - Term Loan          
Debt Instrument [Line Items]          
Line of Credit Facility, Maximum Borrowing Capacity     200.0 200.0  
Line of Credit | Senior Credit Facility - Revolver          
Debt Instrument [Line Items]          
Unused credit line Available for Borrowing, Amount     $ 394.9 $ 394.9  
Senior Notes | 5.625% Senior Notes          
Debt Instrument [Line Items]          
Debt Instrument, Face Amount   $ 300.0      
Debt instrument, interest rate   5.625%      
Debt Instrument, Maturity Date     Jun. 15, 2022    
Minimum          
Debt Instrument [Line Items]          
Line of Credit Facility, Unused Capacity, Commitment Fee Percentage     0.15%    
Interest coverage ratio     3.0 3.0  
Minimum | London Interbank Offered Rate (LIBOR)          
Debt Instrument [Line Items]          
Debt Instrument, Basis Spread on Variable Rate     1.125%    
Minimum | Base Rate          
Debt Instrument [Line Items]          
Debt Instrument, Basis Spread on Variable Rate     1.00%    
Minimum | Senior Notes | 5.625% Senior Notes          
Debt Instrument [Line Items]          
Debt Instrument, Redemption Price, Percentage   100.00%      
Maximum          
Debt Instrument [Line Items]          
Line of Credit Facility, Unused Capacity, Commitment Fee Percentage     0.30%    
Leverage ratio     3.75 3.75  
Maximum | London Interbank Offered Rate (LIBOR)          
Debt Instrument [Line Items]          
Debt Instrument, Basis Spread on Variable Rate     2.00%    
Maximum | Base Rate          
Debt Instrument [Line Items]          
Debt Instrument, Basis Spread on Variable Rate     1.25%    
Maximum | Senior Notes | 5.625% Senior Notes          
Debt Instrument [Line Items]          
Debt Instrument, Redemption Price, Percentage   100.90%      
Accordion [Domain]          
Debt Instrument [Line Items]          
Senior credit facility expansion option, available     $ 300.0 $ 300.0  
Incremental Term Loan [Domain]          
Debt Instrument [Line Items]          
Senior credit facility expansion option, available     $ 200.0 $ 200.0  
Subsequent Event [Member] | Line of Credit | Senior Credit Facility - Revolver          
Debt Instrument [Line Items]          
Proceeds from Lines of Credit $ 295.0