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Operating Segments - Schedule of Segment Reporting Information (Details) - USD ($) $ in Millions	3 Months Ended												12 Months Ended
	Jun. 01, 2019	Mar. 02, 2019	Dec. 01, 2018	Sep. 01, 2018	Jun. 02, 2018	Mar. 03, 2018	Dec. 02, 2017	Sep. 02, 2017	Jun. 03, 2017	Mar. 04, 2017	Dec. 03, 2016	Sep. 03, 2016	Jun. 01, 2019	Jun. 02, 2018	Jun. 03, 2017
Segment Reporting Information
Net sales	$ 671.0	$ 619.0	$ 652.6	$ 624.6	$ 618.0	$ 578.4	$ 604.6	$ 580.3	$ 577.2	$ 524.9	$ 577.5	$ 598.6	$ 2,567.2	$ 2,381.2	$ 2,278.2
Depreciation and Amortization													72.1	66.9	58.9
Operating earnings													203.5	178.9	191.1
Capital Expenditures													85.8	70.6	87.3
Total Assets	1,569.3				1,479.5				1,306.3				1,569.3	1,479.5	1,306.3
Goodwill	303.8				304.1				304.5				303.8	304.1	304.5
North America Contract
Segment Reporting Information
Net sales													1,686.5	1,589.8	1,574.6
Depreciation and Amortization													46.8	43.9	37.7
Operating earnings													189.7	175.2	184.1
Capital Expenditures													52.7	46.0	56.8
Total Assets	733.6				677.4				691.5				733.6	677.4	691.5
Goodwill	185.3				185.3				185.6				185.3	185.3	185.6
International Contract
Segment Reporting Information
Net sales													492.2	434.5	385.5
Depreciation and Amortization													10.5	10.2	9.4
Operating earnings													57.8	36.9	36.2
Capital Expenditures													16.6	11.4	8.5
Total Assets	356.8				283.4				230.3				356.8	283.4	230.3
Goodwill	39.7				40.0				40.1				39.7	40.0	40.1
Retail
Segment Reporting Information
Net sales													388.5	356.9	318.1
Depreciation and Amortization													14.1	12.1	10.2
Operating earnings													5.3	13.9	4.8
Capital Expenditures													16.5	13.2	22.0
Total Assets	310.0				291.2				276.4				310.0	291.2	276.4
Goodwill	78.8				78.8				78.8				78.8	78.8	78.8
Corporate
Segment Reporting Information
Net sales													0.0	0.0	0.0
Depreciation and Amortization													0.7	0.7	1.6
Operating earnings													(49.3)	(47.1)	(34.0)
Capital Expenditures													0.0	0.0	0.0
Total Assets	168.9				227.5				108.1				168.9	227.5	108.1
Goodwill	$ 0.0				$ 0.0				$ 0.0				$ 0.0	$ 0.0	$ 0.0

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