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Debt and Lines of Credit - Lines of Credit (Details)
Jun. 29, 2018
USD ($)
installment
Aug. 31, 2020
USD ($)
Aug. 31, 2019
USD ($)
Line of Credit Facility [Line Items]      
Borrowings outstanding under term loan facility   $ 401,100,000 $ 356,600,000
Long-term debt   376,800,000 347,500,000
Revolving credit facility borrowings      
Line of Credit Facility [Line Items]      
Outstanding letters of credit   3,800,000  
Lines of Credit      
Line of Credit Facility [Line Items]      
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  
Lines of Credit | Minimum      
Line of Credit Facility [Line Items]      
Commitment fees rate 0.125%    
Lines of Credit | Maximum      
Line of Credit Facility [Line Items]      
Commitment fees rate 0.25%    
Lines of Credit | New Revolving Credit Facility      
Line of Credit Facility [Line Items]      
Revolving credit facility $ 400,000,000.0    
Term of facility 5 years    
Borrowings outstanding under credit facility   0 0
Lines of Credit | Borrowings under Term Loan Facility      
Line of Credit Facility [Line Items]      
Revolving credit facility $ 400,000,000.0    
Lines of Credit | Revolving credit facility borrowings      
Line of Credit Facility [Line Items]      
Additional borrowing capacity under revolving credit facility   396,200,000  
Unsecured Term Loan | Borrowings under Term Loan Facility      
Line of Credit Facility [Line Items]      
Borrowings outstanding under term loan facility   395,000,000.0 $ 0
Long-term debt   $ 375,000,000.0  
Number of installments | installment 4    
Eurocurrency Rate | Lines of Credit | New Revolving Credit Facility | Minimum      
Line of Credit Facility [Line Items]      
Applicable margins as determined by leverage ratio 1.00%    
Eurocurrency Rate | Lines of Credit | New Revolving Credit Facility | Maximum      
Line of Credit Facility [Line Items]      
Applicable margins as determined by leverage ratio 1.375%    
Eurocurrency Rate | Lines of Credit | Borrowings under Term Loan Facility | Minimum      
Line of Credit Facility [Line Items]      
Applicable margins as determined by leverage ratio 0.875%    
Eurocurrency Rate | Lines of Credit | Borrowings under Term Loan Facility | Maximum      
Line of Credit Facility [Line Items]      
Applicable margins as determined by leverage ratio 1.25%    
Base Rate | Lines of Credit | New Revolving Credit Facility | Minimum      
Line of Credit Facility [Line Items]      
Applicable margins as determined by leverage ratio 0.00%    
Base Rate | Lines of Credit | New Revolving Credit Facility | Maximum      
Line of Credit Facility [Line Items]      
Applicable margins as determined by leverage ratio 0.375%    
Base Rate | Lines of Credit | Borrowings under Term Loan Facility | Minimum      
Line of Credit Facility [Line Items]      
Applicable margins as determined by leverage ratio 0.00%    
Base Rate | Lines of Credit | Borrowings under Term Loan Facility | Maximum      
Line of Credit Facility [Line Items]      
Applicable margins as determined by leverage ratio 0.25%    
Year one | Lines of Credit | Borrowings under Term Loan Facility      
Line of Credit Facility [Line Items]      
Periodic payment maturity as percent of principal (percent) 2.50%    
Year two | Lines of Credit | Borrowings under Term Loan Facility      
Line of Credit Facility [Line Items]      
Periodic payment maturity as percent of principal (percent) 2.50%    
Year three | Lines of Credit | Borrowings under Term Loan Facility      
Line of Credit Facility [Line Items]      
Periodic payment maturity as percent of principal (percent) 5.00%    
Year four | Lines of Credit | Borrowings under Term Loan Facility      
Line of Credit Facility [Line Items]      
Periodic payment maturity as percent of principal (percent) 5.00%    
Year five | Lines of Credit | Borrowings under Term Loan Facility      
Line of Credit Facility [Line Items]      
Periodic payment maturity as percent of principal (percent) 7.50%