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Operating Segments (Details) - USD ($)
$ in Millions
3 Months Ended 12 Months Ended
Jun. 01, 2019
Mar. 02, 2019
Dec. 01, 2018
Sep. 01, 2018
Jun. 02, 2018
Mar. 03, 2018
Dec. 02, 2017
Sep. 02, 2017
Jun. 03, 2017
Mar. 04, 2017
Dec. 03, 2016
Sep. 03, 2016
Jun. 01, 2019
Jun. 02, 2018
Jun. 03, 2017
Segment Reporting Information                              
Net sales $ 671.0 $ 619.0 $ 652.6 $ 624.6 $ 618.0 $ 578.4 $ 604.6 $ 580.3 $ 577.2 $ 524.9 $ 577.5 $ 598.6 $ 2,567.2 $ 2,381.2 $ 2,278.2
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% 5.00% 5.00%
Net sales                         $ 129.6 $ 109.8 $ 102.3
Unionized Employees Concentration Risk | Workforce Subject to Collective Bargaining Arrangements                              
Segment Reporting Information                              
Concentration Risk, Percentage                         5.00%