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Operating Segments - Revenue from External Customers by Products and Services (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
Revenue from External Customer                              
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
Systems                              
Revenue from External Customer                              
Net sales                         601.5 639.0 656.8
Seating                              
Revenue from External Customer                              
Net sales                         965.9 894.8 855.5
Freestanding And Storage                              
Revenue from External Customer                              
Net sales                         465.1 428.8 456.9
Textiles                              
Revenue from External Customer                              
Net sales                         94.3 96.9 97.6
Other                              
Revenue from External Customer                              
Net sales                         $ 254.4 $ 218.7 $ 198.1