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Operating Segments - Schedule of Segment Reporting Information, by Segment (Details) $ in Millions	3 Months Ended		9 Months Ended
	Mar. 01, 2025 USD ($)	Mar. 02, 2024 USD ($)	Mar. 01, 2025 USD ($) segment	Mar. 02, 2024 USD ($)
Segment Reporting Information
Number of reportable segments | segment			3
Net sales	$ 876.2	$ 872.3	$ 2,708.1	$ 2,739.5
Operating earnings (loss)	(82.2)	42.8	(4.5)	143.5
Operating Segments
Segment Reporting Information
Operating earnings (loss)	(67.5)	55.1	43.4	183.7
Corporate
Segment Reporting Information
Operating earnings (loss)	(14.7)	(12.3)	(47.9)	(40.2)
North America Contract | Operating Segments
Segment Reporting Information
Net sales	468.2	461.7	1,469.1	1,481.2
Operating earnings (loss)	17.0	25.5	82.6	106.5
International Contract | Operating Segments
Segment Reporting Information
Net sales	145.5	153.1	474.3	471.9
Operating earnings (loss)	9.9	17.5	41.6	42.7
Global Retail | Operating Segments
Segment Reporting Information
Net sales	262.5	257.5	764.7	786.4
Operating earnings (loss)	$ (94.4)	$ 12.1	$ (80.8)	$ 34.5

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