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Shares Repurchased and Dividends - Narrative (Details) - USD ($)
$ / shares in Units, $ in Millions
3 Months Ended 9 Months Ended
May 30, 2020
Oct. 23, 2019
Oct. 22, 2019
Jan. 02, 2019
May 30, 2020
Feb. 29, 2020
Nov. 30, 2019
May 25, 2019
Feb. 23, 2019
Nov. 24, 2018
May 30, 2020
Equity, Class of Treasury Stock [Line Items]                      
Stock Repurchased During Period, Value       $ 100.0              
Shares repurchased (in shares) 314,917       46,667           117,767
Total cost of shares repurchased divided by the total number of shares repurchased $ 165.96       $ 161.65           $ 184.67
Class B Common Stock                      
Equity, Class of Treasury Stock [Line Items]                      
Quarterly dividend amount (in dollars per share)   $ 0.20 $ 0.09   0.20 $ 0.20 $ 0.20 $ 0.0900 $ 0.0900 $ 0.0900  
Common Stock                      
Equity, Class of Treasury Stock [Line Items]                      
Quarterly dividend amount (in dollars per share)   $ 0.25 $ 0.1125   $ 0.25 $ 0.25 $ 0.25 $ 0.1125 $ 0.1125 $ 0.1125