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Debt and Lines of Credit (Details)
3 Months Ended 6 Months Ended
Nov. 10, 2020
USD ($)
Jun. 29, 2018
USD ($)
Feb. 28, 2021
USD ($)
Nov. 30, 2020
USD ($)
Feb. 29, 2020
USD ($)
Feb. 28, 2021
USD ($)
Feb. 29, 2020
USD ($)
Aug. 31, 2020
USD ($)
Line of Credit Facility [Abstract]                
Debt repaid           $ 397,100,000 $ 350,500,000  
Interest Revenue (Expense), Net [Abstract]                
Interest expense     $ 6,900,000   $ 6,800,000 12,000,000.0 15,800,000  
Interest income     (300,000)   (1,100,000) (500,000) (1,800,000)  
Interest expense, net     6,600,000   $ 5,700,000 11,500,000 $ 14,000,000.0  
Unsecured debt | Unsecured Delayed Draw Term Loan                
Line of Credit Facility [Abstract]                
Aggregate principal amount   $ 400,000,000.0            
Debt repaid       $ 395,000,000.0        
Borrowings outstanding under current Revolving Credit Facility               $ 395,000,000.0
Industrial revenue bond | Industrial Revenue Bond Maturing in 2021                
Line of Credit Facility [Abstract]                
Debt outstanding     4,000,000.0     4,000,000.0    
Bank loans | Bank loans                
Line of Credit Facility [Abstract]                
Debt outstanding               2,100,000
Debt repaid           2,100,000    
Credit facility                
Line of Credit Facility [Abstract]                
Minimum interest coverage ratio   2.50            
Maximum leverage ratio   3.50            
Outstanding letters of credit     8,400,000     8,400,000    
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   $ 400,000,000.0            
Borrowings outstanding under current Revolving Credit Facility     0     0   $ 0
Additional borrowing capacity under revolving credit facility     395,800,000     395,800,000    
Letters of Credit | New Revolving Credit Facility                
Line of Credit Facility [Abstract]                
Outstanding letters of credit     4,200,000     4,200,000    
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 $ 500,000,000.0              
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     $ 494,000,000.0     $ 494,000,000.0