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Debt - Narrative (Details) - USD ($)
3 Months Ended 9 Months Ended
May 31, 2020
May 31, 2019
May 31, 2020
May 31, 2019
Mar. 05, 2020
Aug. 31, 2019
Mar. 29, 2019
Debt Instrument [Line Items]              
Interest paid $ 2,900,000 $ 5,200,000 $ 10,900,000 $ 15,100,000      
Cash flow hedging | Designated as hedging instrument              
Debt Instrument [Line Items]              
Gross notional amount 332,742,000   332,742,000     $ 113,700,000  
Interest rate swap agreement | Cash flow hedging | Designated as hedging instrument              
Debt Instrument [Line Items]              
Gross notional amount $ 287,500,000   $ 287,500,000     $ 0  
Fixed rate         0.7995%    
Weighted Average              
Debt Instrument [Line Items]              
Interest rate at period end 2.47%   2.47%     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     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     0.875%