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Operating Segments - Schedule of Revenue by Customer Geographic Area (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
Revenues from External Customers and Long-Lived Assets                              
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
United States                              
Revenues from External Customers and Long-Lived Assets                              
Net sales                         1,865.8 1,737.9 1,690.1
International                              
Revenues from External Customers and Long-Lived Assets                              
Net sales                         $ 701.4 $ 643.3 $ 588.1