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Revenue from Contracts with Customers - Revenue Disaggregated By Product Type And Reportable Segment (Details) - USD ($) $ in Millions	3 Months Ended		9 Months Ended
	Feb. 29, 2020	Mar. 02, 2019	Feb. 29, 2020	Mar. 02, 2019
Disaggregation of Revenue [Line Items]
Net sales	$ 665.7	$ 619.0	$ 2,010.8	$ 1,896.2
North America Contract:
Disaggregation of Revenue [Line Items]
Net sales	413.4	397.0	1,322.5	1,252.8
North America Contract: | Systems
Disaggregation of Revenue [Line Items]
Net sales	132.3	128.7	424.6	420.2
North America Contract: | Seating
Disaggregation of Revenue [Line Items]
Net sales	120.4	122.7	380.3	375.2
North America Contract: | Freestanding and storage
Disaggregation of Revenue [Line Items]
Net sales	96.8	91.4	317.7	282.3
North America Contract: | Textiles
Disaggregation of Revenue [Line Items]
Net sales	27.2	26.5	86.8	84.8
North America Contract: | Other
Disaggregation of Revenue [Line Items]
Net sales	36.7	27.7	113.1	90.3
International Contract:
Disaggregation of Revenue [Line Items]
Net sales	156.1	126.0	388.1	359.9
International Contract: | Systems
Disaggregation of Revenue [Line Items]
Net sales	21.5	26.8	66.2	78.0
International Contract: | Seating
Disaggregation of Revenue [Line Items]
Net sales	107.1	71.8	235.4	202.7
International Contract: | Freestanding and storage
Disaggregation of Revenue [Line Items]
Net sales	14.0	14.5	42.5	38.7
International Contract: | Other
Disaggregation of Revenue [Line Items]
Net sales	13.5	12.9	44.0	40.5
Retail:
Disaggregation of Revenue [Line Items]
Net sales	96.2	96.0	300.2	283.5
Retail: | Seating
Disaggregation of Revenue [Line Items]
Net sales	68.7	59.2	197.9	171.0
Retail: | Freestanding and storage
Disaggregation of Revenue [Line Items]
Net sales	16.9	15.2	50.6	49.2
Retail: | Other
Disaggregation of Revenue [Line Items]
Net sales	$ 10.6	$ 21.6	$ 51.7	$ 63.3

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+ References

No definition available.

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- Definition

Amount, excluding 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.

+ References

Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 606
-SubTopic 10
-Section 50
-Paragraph 4
-Subparagraph (a)
-URI http://asc.fasb.org/extlink&oid=109196051&loc=SL49130543-203045

Reference 2: http://fasb.org/us-gaap/role/ref/legacyRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 606
-SubTopic 10
-Section 50
-Paragraph 1
-Subparagraph (a)
-URI http://asc.fasb.org/extlink&oid=109196051&loc=SL49130539-203045

Reference 3: http://fasb.org/us-gaap/role/ref/legacyRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 606
-SubTopic 10
-Section 50
-Paragraph 5
-URI http://asc.fasb.org/extlink&oid=109196051&loc=SL49130545-203045

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