Operating Segments (Details) $ in Millions	3 Months Ended		6 Months Ended
	Dec. 02, 2023 USD ($)	Dec. 03, 2022 USD ($)	Dec. 02, 2023 USD ($) segment	Dec. 03, 2022 USD ($)
Segment Reporting Information
Number of reportable segments | segment			3
Net sales	$ 949.5	$ 1,066.9	$ 1,867.2	$ 2,145.7
Operating earnings	60.4	38.7	100.7	89.5
Operating Segments
Segment Reporting Information
Operating earnings	73.6	55.6	128.6	121.7
Corporate
Segment Reporting Information
Operating earnings	(13.2)	(16.9)	(27.9)	(32.2)
Americas Contract | Operating Segments
Segment Reporting Information
Net sales	476.1	529.7	966.5	1,067.1
Operating earnings	35.1	25.3	76.5	45.7
International Contract & Specialty | Operating Segments
Segment Reporting Information
Net sales	241.2	264.9	469.5	537.4
Operating earnings	23.8	28.3	35.2	56.2
Global Retail | Operating Segments
Segment Reporting Information
Net sales	232.2	272.3	431.2	541.2
Operating earnings	$ 14.7	$ 2.0	$ 16.9	$ 19.8