Fair Value Measurements - Redeemable Noncontrolling Interests (Details) - USD ($) $ in Millions	3 Months Ended	6 Months Ended
Dec. 02, 2023	Dec. 03, 2022	Dec. 02, 2023	Dec. 03, 2022
Redeemable Noncontrolling Interest [Roll Forward]
Beginning Balance			$ 107.6
Net income attributable to redeemable noncontrolling interests	$ 0.9	$ 1.5	0.3	$ 3.1
Ending Balance	109.6		109.6
HAY
Redeemable Noncontrolling Interest [Roll Forward]
Beginning Balance			107.6	106.9
Net income attributable to redeemable noncontrolling interests			0.4	3.1
Dividend attributable to redeemable noncontrolling interests			0.0	(1.6)
Foreign currency translation adjustments			1.6	(1.8)
Ending Balance	$ 109.6	$ 106.6	$ 109.6	$ 106.6

Redeemable Noncontrolling Interest

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- Definition

Redeemable Noncontrolling Interests, Distributions To Redeemable Noncontrolling Interests

+ References

No definition available.

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- Definition

Redeemable Noncontrolling Interests, Impact Of Foreign Currency Translation

+ References

No definition available.

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- Definition

Amount of Net Income (Loss) attributable to redeemable noncontrolling interest.

+ References

Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef
-Topic 220
-SubTopic 10
-Name Accounting Standards Codification
-Section S99
-Paragraph 2
-Subparagraph (SX 210.5-03.19)
-Publisher FASB
-URI https://asc.fasb.org//1943274/2147483621/220-10-S99-2

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- Definition

As of the reporting date, the aggregate carrying amount of all noncontrolling interests which are redeemable by the (parent) entity (1) at a fixed or determinable price on a fixed or determinable date, (2) at the option of the holder of the noncontrolling interest, or (3) upon occurrence of an event that is not solely within the control of the (parent) entity. This item includes noncontrolling interest holder's ownership (or holders' ownership) regardless of the type of equity interest (common, preferred, other) including all potential organizational (legal) forms of the investee entity.

+ References

Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef
-Name Accounting Standards Codification
-Topic 480
-SubTopic 10
-Subparagraph (12)(c)
-Section S99
-Paragraph 3A
-Publisher FASB
-URI https://asc.fasb.org//1943274/2147480244/480-10-S99-3A

Reference 2: http://fasb.org/us-gaap/role/ref/legacyRef
-Name Accounting Standards Codification
-Topic 480
-SubTopic 10
-Subparagraph 14
-Paragraph 3A
-Section S99
-Publisher FASB
-URI https://asc.fasb.org//1943274/2147480244/480-10-S99-3A

Reference 3: http://fasb.org/us-gaap/role/ref/legacyRef
-Name Accounting Standards Codification
-Topic 480
-SubTopic 10
-Subparagraph 15
-Paragraph 3A
-Section S99
-Publisher FASB
-URI https://asc.fasb.org//1943274/2147480244/480-10-S99-3A

Reference 4: http://fasb.org/us-gaap/role/ref/legacyRef
-Name Accounting Standards Codification
-Topic 480
-SubTopic 10
-Subparagraph (16)(c)
-Paragraph 3A
-Section S99
-Publisher FASB
-URI https://asc.fasb.org//1943274/2147480244/480-10-S99-3A

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