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Debt and Lines of Credit (Details)
3 Months Ended
Nov. 10, 2020
USD ($)
Jun. 29, 2018
USD ($)
Nov. 30, 2021
USD ($)
Nov. 30, 2020
USD ($)
Aug. 31, 2021
USD ($)
Interest Revenue (Expense), Net [Abstract]          
Interest expense     $ 6,200,000 $ 5,100,000  
Interest income     (300,000) (200,000)  
Interest expense, net     5,900,000 $ 4,900,000  
Letters of Credit | New Revolving Credit Facility          
Line of Credit Facility [Abstract]          
Outstanding letters of credit     4,100,000    
Credit facility          
Line of Credit Facility [Abstract]          
Minimum interest coverage ratio   2.50      
Maximum leverage ratio   3.50      
Outstanding letters of credit     4,100,000    
Credit facility | Minimum          
Line of Credit Facility [Abstract]          
Facility fee (percent)   0.125%      
Credit facility | Maximum          
Line of Credit Facility [Abstract]          
Facility fee (percent)   0.25%      
Credit facility | New Revolving Credit Facility          
Line of Credit Facility [Abstract]          
Term of instrument   5 years      
Executed revolving credit facility   $ 400,000,000      
Borrowings outstanding under current Revolving Credit Facility     0   $ 0
Additional borrowing capacity under revolving credit facility     395,900,000    
Eurocurrency Rate | Credit facility | New Revolving Credit Facility | Minimum          
Line of Credit Facility [Abstract]          
Applicable margins based on company's leverage ratio, percentage   1.00%      
Eurocurrency Rate | Credit facility | New Revolving Credit Facility | Maximum          
Line of Credit Facility [Abstract]          
Applicable margins based on company's leverage ratio, percentage   1.375%      
Base rate | Credit facility | New Revolving Credit Facility | Minimum          
Line of Credit Facility [Abstract]          
Applicable margins based on company's leverage ratio, percentage   0.00%      
Base rate | Credit facility | New Revolving Credit Facility | Maximum          
Line of Credit Facility [Abstract]          
Applicable margins based on company's leverage ratio, percentage   0.375%      
ABL | Unsecured debt | 2.150% Senior Unsecured Notes Due December 2030          
Line of Credit Facility [Abstract]          
Aggregate principal amount $ 500,000,000        
Interest rate (percent) 2.15%        
Debt issuance price as a percentage of face value (percent) 99.737%        
Deferred issuance costs $ 4,800,000        
Term of instrument 10 years        
Debt outstanding     $ 494,500,000