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Significant Accounting and Reporting Policies - Schedule of Impairment Charges (Details) - USD ($) $ in Millions	3 Months Ended		12 Months Ended
	Jun. 01, 2024	Mar. 04, 2023	Jun. 01, 2024	Jun. 03, 2023	May 28, 2022
Restructuring Cost and Reserve [Line Items]
Right of use asset impairment charge	$ 5.5			$ 6.1
Impairment charge on carrying value of assets held for sale	$ 1.0
Impairment charges			$ 16.8	41.2	$ 0.0
Non-cash impairment charge			16.8	57.9	$ 15.5
Brand and Sales Channel
Restructuring Cost and Reserve [Line Items]
Impairment charges		$ 21.5	6.5	21.5
Property and equipment \| Brand and Sales Channel
Restructuring Cost and Reserve [Line Items]
Impairment charges			1.0	3.8
Right of use asset \| Brand and Sales Channel
Restructuring Cost and Reserve [Line Items]
Impairment charges			5.5	6.1
Trade name \| Brand and Sales Channel
Restructuring Cost and Reserve [Line Items]
Impairment charges		$ 11.6	$ 0.0	$ 11.6