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Share-based Compensation - Narrative (Details) - USD ($)
$ / shares in Units, $ in Millions
3 Months Ended 12 Months Ended
Apr. 21, 2016
Oct. 27, 2014
May 27, 2017
Aug. 25, 2018
Aug. 26, 2017
Aug. 27, 2016
Aug. 29, 2009
Oct. 30, 2010
Nov. 30, 1996
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                  
Closing share price (in dollars per share) $ 111.13                
Stock Appreciation Rights (SARs)                  
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                  
Percentage vested after each anniversary of the grant date       20.00%          
Period awards become fully vested or exercisable       5 years          
Expiration period       10 years          
Weighted average fair values of Share-Based Awards granted (in dollars per share)       $ 47.51 $ 34.74 $ 35.81      
Time-Based Restricted Stock Units                  
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                  
Period awards become fully vested or exercisable       5 years          
Time-Based Restricted Stock Units | Tranche One                  
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                  
Percentage vested after each anniversary of the grant date       20.00%          
Period awards become fully vested or exercisable       5 years          
Time-Based Restricted Stock Units | Tranche Two                  
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                  
Percentage vested after each anniversary of the grant date       33.00%          
Period awards become fully vested or exercisable       3 years          
Time-Based Restricted Stock Units | Tranche Three                  
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                  
Period awards become fully vested or exercisable       5 years          
Share-Based Awards                  
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                  
Total compensation cost not yet recognized related to non-vested awards       $ 9.1          
Period for recognition       2 years 1 month 6 days          
Non-Employee Directors                  
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                  
Expiration period       8 years          
Potential expiration period, period post date Director ceases to be a member of the Board of Directors       2 years          
Non-Employee Directors | Unrestricted Stock                  
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                  
Shares granted (in shares)       234 735 885      
Non-Employee Directors | Stock Appreciation Rights (SARs)                  
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                  
Expiration period       8 years     10 years    
Potential expiration period, period post date Director ceases to be a member of the Board of Directors       2 years          
The 1996 Plan                  
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                  
Number of shares reserved for issuance (in shares)                 1,500,000
The 2010 Plan                  
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                  
Number of shares reserved for issuance (in shares)               600,000  
Number of additional shares reserved for issuance (in shares)   750,000              
Shares available for future grants (in shares)       475,045          
The 2010 Plan | Non-Employee Directors | Stock Appreciation Rights (SARs)                  
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                  
Shares granted (in shares)       5,000 4,940 6,675      
Restricted Stock Award Agreement | Mr. Croatti                  
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                  
Expense recognized         $ 8.8        
Expense recognized due to accelerated vesting     $ 5.4   $ 5.4        
Restricted Stock Award Agreement | Mr. Croatti | Performance Restricted Shares                  
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                  
Shares granted (in shares) 140,000                
Shares forfeited (in shares)     46,666            
Shares earned in the performance period (in shares)         22,333        
Restricted Stock Award Agreement | Mr. Croatti | Performance Restricted Shares | Class B Common Stock                  
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                  
Shares vested (in shares)     46,667            
Shares earned in the performance period (in shares)         24,334