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Fair Value Measurements - Redeemable Noncontrolling Interests (Details) - USD ($) $ in Millions	3 Months Ended
	Sep. 02, 2023	Sep. 03, 2022
Redeemable Noncontrolling Interest [Roll Forward]
Beginning Balance	$ 107.6
Net (loss) earnings attributable to redeemable noncontrolling interests	(0.6)	$ 1.6
Ending Balance	107.6
HAY
Redeemable Noncontrolling Interest [Roll Forward]
Beginning Balance	107.6	106.9
Net (loss) earnings attributable to redeemable noncontrolling interests	(0.6)	1.6
Dividend attributable to redeemable noncontrolling interests	0.0	0.0
Cumulative translation adjustments attributable to redeemable noncontrolling interests	0.0	0.1
Foreign currency translation adjustments	0.6	(7.9)
Ending Balance	$ 107.6	$ 100.7

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- Definition

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Redeemable Noncontrolling Interests, Cumulative Translation Adjustments Attributable To Redeemable Noncontrolling Interests

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- Definition

Redeemable Noncontrolling Interests, Distributions To Redeemable Noncontrolling Interests

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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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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
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-URI https://asc.fasb.org//1943274/2147480244/480-10-S99-3A

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