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Goodwill and Indefinite-Lived Intangibles - Schedule of Goodwill and Indefinite-lived Intangibles (Details) - USD ($) $ in Millions	9 Months Ended
	Mar. 02, 2024	Jun. 03, 2023
Goodwill [Roll Forward]
Goodwill		$ 1,347.2
Foreign currency translation adjustments	$ 4.2
Accumulated impairment losses	(125.5)
Goodwill	1,225.9	1,221.7
Indefinite-Lived Intangible Assets [Roll Forward]
Indefinite-lived intangible assets, beginning balance	480.7
Foreign currency translation adjustments	1.5
Indefinite-lived intangible assets, ending balance	482.2
Americas Contract
Goodwill [Roll Forward]
Goodwill		565.1
Foreign currency translation adjustments	1.4
Accumulated impairment losses	(36.7)
Goodwill	529.8
International Contract & Specialty
Goodwill [Roll Forward]
Goodwill		303.0
Foreign currency translation adjustments	1.4
Accumulated impairment losses	0.0
Goodwill	304.4
Global Retail
Goodwill [Roll Forward]
Goodwill		$ 479.1
Foreign currency translation adjustments	1.4
Accumulated impairment losses	(88.8)
Goodwill	$ 391.7

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