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Debt and Lines of Credit (Details)
3 Months Ended 9 Months Ended
Dec. 16, 2019
USD ($)
Jun. 29, 2018
USD ($)
installment
May 31, 2020
USD ($)
May 31, 2019
USD ($)
May 31, 2020
USD ($)
May 31, 2019
USD ($)
Aug. 31, 2019
USD ($)
Line of Credit Facility [Abstract]              
Borrowings reflected within Long-term debt on Consolidated Balance Sheets     $ 385,800,000   $ 385,800,000   $ 347,500,000
Interest Revenue (Expense), Net [Abstract]              
Interest expense     6,100,000 $ 9,100,000 21,900,000 $ 27,400,000  
Interest income     (700,000) (800,000) (2,500,000) (1,800,000)  
Interest expense, net     5,400,000 $ 8,300,000 19,400,000 $ 25,600,000  
Credit facility              
Line of Credit Facility [Abstract]              
Executed revolving credit facility   $ 800,000,000.0          
Minimum interest coverage ratio   2.50          
Maximum leverage ratio   3.50          
Outstanding letters of credit     8,100,000   8,100,000    
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]              
Executed revolving credit facility   $ 400,000,000.0          
Revolving credit facility term   5 years          
Borrowings outstanding under current Revolving Credit Facility     0   0   0
Additional borrowing capacity under revolving credit facility     396,200,000   396,200,000    
Unsecured term loan | Unsecured Delayed Draw Term Loan              
Line of Credit Facility [Abstract]              
Term loan facility   $ 400,000,000.0          
Borrowings outstanding under Term Loan Facility     397,500,000   397,500,000   0
Borrowings reflected within Long-term debt on Consolidated Balance Sheets     380,000,000.0   380,000,000.0    
Number of separate installments allowed during borrowing period | installment   4          
Debt Instruments [Abstract]              
Debt outstanding     397,500,000   397,500,000   $ 0
Letters of Credit | New Revolving Credit Facility              
Line of Credit Facility [Abstract]              
Outstanding letters of credit     3,800,000   3,800,000    
Senior unsecured public notes | Senior Unsecured Notes Maturing December 2019              
Debt Instruments [Abstract]              
Senior unsecured notes repaid $ 350,000,000.0            
Industrial revenue bond | Industrial Revenue Bond Maturing in 2021              
Line of Credit Facility [Abstract]              
Borrowings outstanding under Term Loan Facility     4,000,000.0   4,000,000.0    
Debt Instruments [Abstract]              
Debt outstanding     4,000,000.0   4,000,000.0    
Bank loans | 2016 Fixed-rate Bank Loans              
Line of Credit Facility [Abstract]              
Borrowings outstanding under Term Loan Facility     2,100,000   2,100,000    
Debt Instruments [Abstract]              
Debt outstanding     $ 2,100,000   $ 2,100,000    
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%          
Eurocurrency Rate | Unsecured term loan | Unsecured Delayed Draw Term Loan | Minimum              
Line of Credit Facility [Abstract]              
Applicable margins based on company's leverage ratio, percentage   0.875%          
Eurocurrency Rate | Unsecured term loan | Unsecured Delayed Draw Term Loan | Maximum              
Line of Credit Facility [Abstract]              
Applicable margins based on company's leverage ratio, percentage   1.25%          
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%          
Base rate | Unsecured term loan | Unsecured Delayed Draw Term Loan | Minimum              
Line of Credit Facility [Abstract]              
Applicable margins based on company's leverage ratio, percentage   0.00%          
Base rate | Unsecured term loan | Unsecured Delayed Draw Term Loan | Maximum              
Line of Credit Facility [Abstract]              
Applicable margins based on company's leverage ratio, percentage   0.25%          
Year one | Unsecured term loan | Unsecured Delayed Draw Term Loan              
Line of Credit Facility [Abstract]              
Quarterly payment (percent)   2.50%          
Year two | Unsecured term loan | Unsecured Delayed Draw Term Loan              
Line of Credit Facility [Abstract]              
Quarterly payment (percent)   2.50%          
Year three | Unsecured term loan | Unsecured Delayed Draw Term Loan              
Line of Credit Facility [Abstract]              
Quarterly payment (percent)   5.00%          
Year four | Unsecured term loan | Unsecured Delayed Draw Term Loan              
Line of Credit Facility [Abstract]              
Quarterly payment (percent)   5.00%          
Year five and after | Unsecured term loan | Unsecured Delayed Draw Term Loan              
Line of Credit Facility [Abstract]              
Quarterly payment (percent)   7.50%