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Long-Term Debt (Details) - USD ($) $ in Millions		12 Months Ended
	Jan. 03, 2018	Jun. 02, 2018	Jun. 03, 2017
Line of Credit Facility
Proceeds from Issuance of Debt	$ 225.0
Repayments of Debt	$ 150.0
Line of Credit Facility, Current Borrowing Capacity			$ 0.0
Letters of Credit Outstanding, Amount		$ 8.2	8.3
Interest Coverage		400.00%
Other Short-term Borrowings		$ 3.8	3.2
Finance Leased Assets, Gross		$ 7.0	7.0
Long-term Debt, Maturities, Repayment Terms		five
Line of Credit
Line of Credit Facility
Line of Credit Facility, Maximum Borrowing Capacity		$ 400.0
Line of Credit Facility, Expansion Feature, Additional Borrowing Capacity		200.0
Line of Credit Facility, Current Borrowing Capacity		225.0	0.0
Line of Credit Facility, Remaining Borrowing Capacity		$ 166.8	$ 391.7
Minimum
Line of Credit Facility
Leverage Ratio		350.00%
Maximum
Line of Credit Facility
Leverage Ratio		400.00%

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Finance Leased Assets, Gross

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Line of Credit Facility, Expansion Feature, Additional Borrowing Capacity

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The total amount of the contingent obligation under letters of credit outstanding as of the reporting date.

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Fair value of the amount outstanding under the credit facility.

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Reference 1: http://www.xbrl.org/2003/role/disclosureRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 825
-SubTopic 10
-Section 50
-Paragraph 10
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Maximum borrowing capacity under the credit facility without consideration of any current restrictions on the amount that could be borrowed or the amounts currently outstanding under the facility.

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Amount of borrowing capacity currently available under the credit facility (current borrowing capacity less the amount of borrowings outstanding).

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Disclosure of timing of required repayments, sinking fund requirements, and other redeemable securities at fixed or determinable prices and dates in the five years immediately following the date of the latest balance sheet presented in the financial statements, and the amount thereafter to fully repay the principal of long-term debt. These disclosures may be made either on an individual debt or security basis, by type of debt or security basis, or on a combined basis.

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The cash inflow during the period from additional borrowings in aggregate debt. Includes proceeds from short-term and long-term debt.

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