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Fair Value Fair Value - Schedule of Redeemable Noncontrolling Interests (Details) - USD ($) $ in Millions | 12 Months Ended
--- | ---
May 30, 2020 | Jun. 01, 2019 | Jun. 02, 2018
Redeemable Noncontrolling Interest [Line Items] |  |  |
Redeemable noncontrolling interests | $ 50.4 | $ 20.6 |
Redemption value adjustment | 17.8 |  | $ (6.2)
Foreign currency translation adjustments | 0.7 |  |
HAY |  |  |
Redeemable Noncontrolling Interest [Line Items] |  |  |
Redeemable noncontrolling interests | 50.4 | 0.0 |
Redemption value adjustment | (17.6) |  |
Increase due to HAY acquisition | 72.4 |  |
Net income attributable to redeemable noncontrolling interests | (5.1) |  |
Herman Miller Consumer Holdings |  |  |
Redeemable Noncontrolling Interest [Line Items] |  |  |
Redeemable noncontrolling interests | 0.0 | 20.6 | $ 30.5
Purchase of HMCH redeemable noncontrolling interests | (20.4) | (10.1) |
Redemption value adjustment | (0.2) | 0.0 |
Exercised options | $ 0.0 | $ 0.2 |
Herman Miller Consumer Holdings |  |  |
Redeemable Noncontrolling Interest [Line Items] |  |  |
Noncontrolling Interest, Ownership Percentage by Noncontrolling Owners |  | 5.00% |

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- Definition Change in noncontrolling interest during the period as a result of a change in the redemption value of redeemable noncontrolling interest. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 480 -SubTopic 10 -Section S99 -Paragraph 3A -Subparagraph 15 -URI http://asc.fasb.org/extlink&oid=65877616&loc=SL6540498-122764 Reference 2: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 480 -SubTopic 10 -Section S99 -Paragraph 3A -Subparagraph 16(c) -URI http://asc.fasb.org/extlink&oid=65877616&loc=SL6540498-122764 Reference 3: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 505 -SubTopic 10 -Section S99 -Paragraph 1 -URI http://asc.fasb.org/extlink&oid=120397183&loc=d3e187085-122770 Reference 4: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 480 -SubTopic 10 -Section S99 -Paragraph 3A -Subparagraph 14 -URI http://asc.fasb.org/extlink&oid=65877616&loc=SL6540498-122764 + Details
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