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Fair Value of Financial Instruments Fair Value of Financial Instruments - Schedule of Derivative Instruments in Statement of Financial Position (Details) - USD ($) $ in Millions	Jun. 01, 2019	Jun. 02, 2018
Derivatives, Fair Value [Line Items]
Available-for-sale Securities	$ 8.8	$ 8.6
Fair Value, Measurements, Recurring [Member] | Quoted Prices With Other Observable Inputs (Level 2) | Interest rate swap agreement
Derivatives, Fair Value [Line Items]
Interest Rate Cash Flow Hedge Asset at Fair Value	(1.2)
Fair Value, Measurements, Recurring [Member] | Quoted Prices With Other Observable Inputs (Level 2) | Interest rate swap agreement | Other Noncurrent Assets
Derivatives, Fair Value [Line Items]
Interest Rate Cash Flow Hedge Asset at Fair Value	1.0	15.0
Fair Value, Measurements, Recurring [Member] | Quoted Prices With Other Observable Inputs (Level 2) | Interest rate swap agreement | Other Noncurrent Liabilities
Derivatives, Fair Value [Line Items]
Interest Rate Cash Flow Hedge Asset at Fair Value	2.2	0.0
Fair Value, Measurements, Recurring [Member] | Quoted Prices With Other Observable Inputs (Level 2) | Foreign Exchange Forward | Other Current Assets
Derivatives, Fair Value [Line Items]
Foreign Currency Contract, Asset, Fair Value Disclosure	0.0	0.4
Fair Value, Measurements, Recurring [Member] | Quoted Prices With Other Observable Inputs (Level 2) | Foreign Exchange Forward | Other Current Liabilities
Derivatives, Fair Value [Line Items]
Foreign Currency Contracts, Liability, Fair Value Disclosure	$ 1.4	$ 0.3

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- Definition

Amount of investment in debt and equity securities categorized neither as held-to-maturity nor trading.

+ References

No definition available.

+ Details

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- Definition

Line items represent financial concepts included in a table. These concepts are used to disclose reportable information associated with domain members defined in one or many axes to the table.

+ References

No definition available.

+ Details

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- Definition

Fair value portion of asset contracts related to the exchange of different currencies, including, but not limited to, foreign currency options, forward contracts, and swaps.

+ References

No definition available.

+ Details

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- Definition

Fair value portion of liability contracts related to the exchange of different currencies, including, but not limited to, foreign currency options, forward (delivery or nondelivery) contracts, and swaps entered into.

+ References

No definition available.

+ Details

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- Definition

Fair value as of the balance sheet date of all interest rate derivative assets designated as cash flow hedging instruments.

+ References

Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 815
-SubTopic 10
-Section 50
-Paragraph 4B
-Subparagraph (c)(1)
-URI http://asc.fasb.org/extlink&oid=109980867&loc=SL5624163-113959

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