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Goodwill and Indefinite-lived Intangibles - Schedule of Goodwill and Indefinite-lived Intangibles (Details)
$ in Millions
6 Months Ended
Nov. 27, 2021
USD ($)
Goodwill [Roll Forward]  
Goodwill, beginning $ 364.2
Foreign currency translation adjustments (23.4)
Acquisition of Knoll 943.7
Goodwill, ending 1,284.5
Indefinite-lived Intangible Assets [Roll Forward]  
Indefinite-Lived Intangible Assets, beginning 97.6
Foreign currency translation adjustments (6.1)
Acquisition of Knoll 405.9
Indefinite-Lived Intangible Assets, ending $ 497.4