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Operating Segments (Details) $ in Millions	3 Months Ended		9 Months Ended
	Mar. 02, 2024 USD ($)	Mar. 04, 2023 USD ($)	Mar. 02, 2024 USD ($) segment	Mar. 04, 2023 USD ($)
Segment Reporting Information
Number of reportable segments | segment			3
Net sales	$ 872.3	$ 984.7	$ 2,739.5	$ 3,130.4
Operating earnings (loss)	42.8	21.2	143.5	110.7
Operating Segments
Segment Reporting Information
Operating earnings (loss)	55.1	33.3	183.7	155.0
Corporate
Segment Reporting Information
Operating earnings (loss)	(12.3)	(12.1)	(40.2)	(44.3)
Americas Contract | Operating Segments
Segment Reporting Information
Net sales	441.1	484.6	1,407.6	1,551.7
Operating earnings (loss)	25.3	32.5	101.8	78.2
International Contract & Specialty | Operating Segments
Segment Reporting Information
Net sales	217.3	242.5	686.8	779.9
Operating earnings (loss)	18.5	25.3	53.7	81.5
Global Retail | Operating Segments
Segment Reporting Information
Net sales	213.9	257.6	645.1	798.8
Operating earnings (loss)	$ 11.3	$ (24.5)	$ 28.2	$ (4.7)

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