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Operating Segments - Schedule of Segment Reporting Information (Details) - USD ($) $ in Millions	3 Months Ended												12 Months Ended
	May 29, 2021	Feb. 27, 2021	Nov. 28, 2020	Aug. 29, 2020	May 30, 2020	Feb. 29, 2020	Nov. 30, 2019	Aug. 31, 2019	Jun. 01, 2019	Mar. 02, 2019	Dec. 01, 2018	Sep. 01, 2018	May 29, 2021	May 30, 2020	Jun. 01, 2019
Segment Reporting Information
Net sales	$ 621.5	$ 590.5	$ 626.3	$ 626.8	$ 475.7	$ 665.7	$ 674.2	$ 670.9	$ 671.0	$ 619.0	$ 652.6	$ 624.6	$ 2,465.1	$ 2,486.6	$ 2,567.2
Depreciation and amortization													87.2	79.5	72.1
Operating earnings (loss)													230.6	(38.4)	203.5
Capital expenditures													59.8	69.0	85.8
Total assets	2,061.9				2,053.9				1,569.3				2,061.9	2,053.9	1,569.3
Goodwill	364.2				346.0				303.8				364.2	346.0	303.8
Corporate
Segment Reporting Information
Depreciation and amortization													0.0	0.7	0.7
Operating earnings (loss)													(53.7)	(39.2)	(49.3)
Capital expenditures													0.0	0.0	0.0
Total assets	404.1				461.0				168.9				404.1	461.0	168.9
Goodwill	0.0				0.0				0.0				0.0	0.0	0.0
North America Contract | Operating segments
Segment Reporting Information
Net sales													1,194.0	1,598.2	1,686.5
Depreciation and amortization													53.5	46.7	46.8
Operating earnings (loss)													74.1	130.9	189.7
Capital expenditures													44.9	53.7	52.7
Total assets	745.3				769.5				733.6				745.3	769.5	733.6
Goodwill	187.4				182.3				185.3				187.4	182.3	185.3
International Contract | Operating segments
Segment Reporting Information
Net sales													669.0	502.8	492.2
Depreciation and amortization													22.1	17.4	10.5
Operating earnings (loss)													93.0	18.2	57.8
Capital expenditures													10.3	10.4	16.6
Total assets	572.4				512.5				356.8				572.4	512.5	356.8
Goodwill	176.8				163.7				39.7				176.8	163.7	39.7
Retail | Operating segments
Segment Reporting Information
Net sales													602.1	385.6	388.5
Depreciation and amortization													11.6	14.7	14.1
Operating earnings (loss)													117.2	(148.3)	5.3
Capital expenditures													4.6	4.9	16.5
Total assets	340.1				310.9				310.0				340.1	310.9	310.0
Goodwill	$ 0.0				$ 0.0				$ 78.8				$ 0.0	$ 0.0	$ 78.8

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