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Derivative Instruments - Narrative (Details) - USD ($)
6 Months Ended
Feb. 28, 2021
Feb. 28, 2021
Feb. 29, 2020
Aug. 31, 2020
Mar. 05, 2020
Mar. 29, 2019
Derivative Instruments and Hedging Activities Disclosures [Line Items]            
Discontinuance of cash flow hedges   $ 0 $ 0      
Net derivative gains (losses) to be reclassified $ 900,000          
Minimum            
Derivative Instruments and Hedging Activities Disclosures [Line Items]            
Percent of foreign exchange contracts hedged (in percentage)   25.00%        
Maximum            
Derivative Instruments and Hedging Activities Disclosures [Line Items]            
Percent of foreign exchange contracts hedged (in percentage)   75.00%        
2019 Revolving Credit Facility | PNC Bank, National Associations            
Derivative Instruments and Hedging Activities Disclosures [Line Items]            
Long-term line of credit 575,000,000.0 $ 575,000,000.0        
Maximum borrowing capacity           $ 750,000,000.0
2019 Revolving Credit Facility | PNC Bank, National Associations | London Interbank Offered Rate (LIBOR)            
Derivative Instruments and Hedging Activities Disclosures [Line Items]            
Basis spread on variable rate   0.875%        
Cash flow hedging | Designated as hedging instrument            
Derivative Instruments and Hedging Activities Disclosures [Line Items]            
Gross notional amount 451,873,000 $ 451,873,000   $ 417,149,000    
Cash flow hedging | Designated as hedging instrument | Interest rate swap agreement            
Derivative Instruments and Hedging Activities Disclosures [Line Items]            
Gross notional amount $ 287,500,000 $ 287,500,000   $ 287,500,000 $ 287,500,000  
Fixed rate         0.7995%