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Shares Repurchased and Dividends - Narrative (Details) - USD ($)
$ / shares in Units, $ in Millions
3 Months Ended 9 Months Ended
Jan. 02, 2019
Mar. 28, 2018
Mar. 27, 2018
May 25, 2019
Feb. 23, 2019
Nov. 24, 2018
May 26, 2018
Feb. 24, 2018
Nov. 25, 2017
May 25, 2019
Equity, Class of Treasury Stock [Line Items]                    
Repurchase of common stock, value     $ 146.0              
Total cost of shares repurchased divided by the total number of shares repurchased ($ / share)     $ 124.00 $ 147.47           $ 145.01
Stock Repurchased During Period, Value $ 100.0                  
Number of shares that have been repurchased during the period       99,500           144,500
Class B Common Stock                    
Equity, Class of Treasury Stock [Line Items]                    
Shares repurchased (in shares)     1,105,000              
Quarterly dividend amount (in dollars per share)   $ 0.09 $ 0.03 $ 0.0900 $ 0.0900 $ 0.0900 $ 0.0900 $ 0.0300 $ 0.0300  
Common Stock                    
Equity, Class of Treasury Stock [Line Items]                    
Shares repurchased (in shares)     73,000              
Quarterly dividend amount (in dollars per share)   $ 0.1125 $ 0.0375 $ 0.1125 $ 0.1125 $ 0.1125 $ 0.1125 $ 0.0375 $ 0.0375