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Operating Segments - Revenue from External Customers by Products and Services (Details) - USD ($) $ in Millions	3 Months Ended												12 Months Ended
	May 30, 2020	Feb. 29, 2020	Nov. 30, 2019	Aug. 31, 2019	Jun. 01, 2019	Mar. 02, 2019	Dec. 01, 2018	Sep. 01, 2018	Jun. 02, 2018	Mar. 03, 2018	Dec. 02, 2017	Sep. 02, 2017	May 30, 2020	Jun. 01, 2019	Jun. 02, 2018
Revenue from External Customer
Net sales	$ 475.7	$ 665.7	$ 674.2	$ 670.9	$ 671.0	$ 619.0	$ 652.6	$ 624.6	$ 618.0	$ 578.4	$ 604.6	$ 580.3	$ 2,486.6	$ 2,567.2	$ 2,381.2
Systems
Revenue from External Customer
Net sales													589.3	668.0	601.5
Seating
Revenue from External Customer
Net sales													1,041.6	1,013.5	965.9
Freestanding and storage
Revenue from External Customer
Net sales													496.9	505.4	465.1
Textiles
Revenue from External Customer
Net sales													138.8	113.8	94.3
Other
Revenue from External Customer
Net sales													$ 220.0	$ 266.5	$ 254.4

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Amount, including tax collected from customer, of revenue from satisfaction of performance obligation by transferring promised good or service to customer. Tax collected from customer is tax assessed by governmental authority that is both imposed on and concurrent with specific revenue-producing transaction, including, but not limited to, sales, use, value-added and excise.

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