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Share-based Compensation - Narrative (Details)
$ / shares in Units, $ in Millions
3 Months Ended 12 Months Ended
Apr. 21, 2016
amount
$ / shares
shares
Oct. 27, 2014
shares
May 27, 2017
USD ($)
shares
Aug. 26, 2017
USD ($)
$ / shares
shares
Aug. 27, 2016
$ / shares
shares
Aug. 29, 2015
$ / shares
shares
Aug. 29, 2009
Oct. 30, 2010
shares
Nov. 30, 1996
shares
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                  
Period awards become fully vested or exercisable       5 years          
Expiration period       10 years          
Closing share price (in dollars per share) | $ / shares $ 111.13                
Weighted average fair values of Share-Based Awards granted (in dollars per share) | $ / shares       $ 34.74 $ 35.81 $ 40.06      
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 | $       $ 6.7          
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     10 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)       735 885 1,096      
Non-Employee Directors | Stock Appreciation Rights (SARs)                  
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          
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)       694,870          
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)       4,940 6,675 4,875      
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                
Threshold number of shares eligible to be earned 100,000                
Target number of shares eligible to be earned 120,000                
Maximum number of shares eligible to be earned 140,000                
Number of equal amounts Performance Restricted Shares vested into upon achievement of Performance Criteria | amount 2                
Shares forfeited (in shares)     46,666            
Restricted Stock Award Agreement | Mr. Croatti | Restricted Shares                  
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                  
Shares earned in the performance period (in shares)       22,333          
Restricted Stock Award Agreement | Mr. Croatti | 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