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Operating Segments - Schedule of Revenue by Customer Geographic Area (Details) - USD ($)
$ in Millions
3 Months Ended 12 Months Ended
Jun. 02, 2018
Mar. 03, 2018
Dec. 02, 2017
Sep. 02, 2017
Jun. 03, 2017
Mar. 04, 2017
Dec. 03, 2016
Sep. 03, 2016
May 28, 2016
Feb. 27, 2016
Nov. 28, 2015
Aug. 29, 2015
Jun. 02, 2018
Jun. 03, 2017
May 28, 2016
Revenues from External Customers and Long-Lived Assets                              
Net sales $ 618.0 $ 578.4 $ 604.6 $ 580.3 $ 577.2 $ 524.9 $ 577.5 $ 598.6 $ 582.6 $ 536.5 $ 580.4 $ 565.4 $ 2,381.2 $ 2,278.2 $ 2,264.9
United States                              
Revenues from External Customers and Long-Lived Assets                              
Net sales                         1,737.9 1,690.1 1,757.0
International                              
Revenues from External Customers and Long-Lived Assets                              
Net sales                         $ 643.3 $ 588.1 $ 507.9