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Debt - Narrative (Details) - USD ($)
3 Months Ended 6 Months Ended
Feb. 29, 2020
Feb. 28, 2019
Feb. 29, 2020
Feb. 28, 2019
Aug. 31, 2019
Mar. 29, 2019
Debt Instrument [Line Items]            
Interest paid $ 3,800,000 $ 5,100,000 $ 8,000,000.0 $ 9,900,000    
Weighted Average            
Debt Instrument [Line Items]            
Interest rate at period end (in percentage) 2.76%   2.76%   3.35%  
2019 Revolving Credit Facility (maturity date of March 29, 2024) | PNC Bank, National Associations            
Debt Instrument [Line Items]            
Maximum borrowing capacity           $ 750,000,000.0
Maximum amount of additional borrowings $ 175,000,000.0   $ 175,000,000.0     500,000,000.0
Minimum borrowing amount required for additional borrowings           $ 25,000,000.0
Long-term line of credit $ 575,000,000.0   $ 575,000,000.0      
Commitment fee percentage (in percentage)     0.10%      
Debt issuance costs         $ 900,000  
2019 Revolving Credit Facility (maturity date of March 29, 2024) | PNC Bank, National Associations | London Interbank Offered Rate (LIBOR)            
Debt Instrument [Line Items]            
Basis spread on variable rate (in percentage)     0.875%