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Operating Segments (Details) - USD ($)
$ in Millions
3 Months Ended 12 Months Ended
Jun. 03, 2017
Mar. 04, 2017
Dec. 03, 2016
Sep. 03, 2016
May 28, 2016
Feb. 27, 2016
Nov. 28, 2015
Aug. 29, 2015
May 30, 2015
Feb. 28, 2015
Nov. 29, 2014
Aug. 30, 2014
Jun. 03, 2017
May 28, 2016
May 30, 2015
Segment Reporting Information                              
Net sales $ 577.2 $ 524.9 $ 577.5 $ 598.6 $ 582.6 $ 536.5 $ 580.4 $ 565.4 $ 550.7 $ 516.4 $ 565.4 $ 509.7 $ 2,278.2 $ 2,264.9 $ 2,142.2
Distributor Concentration Risk | Sales Revenue, Net                              
Segment Reporting Information                              
Concentration Risk, Percentage                         5.00%    
Customer Concentration Risk | Sales Revenue, Net                              
Segment Reporting Information                              
Concentration Risk, Percentage                         5.00% 4.00% 5.00%
Net sales                         $ 102.0 $ 88.0 $ 97.0
Unionized Employees Concentration Risk | Workforce Subject to Collective Bargaining Arrangements                              
Segment Reporting Information                              
Concentration Risk, Percentage                         15.00%