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Stock-Based Compensation (Details) - USD ($) $ in Millions	3 Months Ended		9 Months Ended
	Mar. 04, 2017	Feb. 27, 2016	Mar. 04, 2017	Feb. 27, 2016
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Stock-based compensation expense	$ 2.7	$ 2.7	$ 9.2	$ 9.3
Related income tax effect	$ 1.0	$ 1.0	$ 3.3	$ 3.4
Employee Service Share-based Compensation, Aggregate Disclosures [Abstract]
Stock Options			211,566	187,829
Restricted Stock Units (RSUs)
Employee Service Share-based Compensation, Aggregate Disclosures [Abstract]
Restricted Stock Units			89,290	179,265
Performance Share Units			89,290	179,265
Performance Share Units
Employee Service Share-based Compensation, Aggregate Disclosures [Abstract]
Restricted Stock Units			113,040	55,825
Performance Share Units			113,040	55,825

X

- Definition

Represents the expense recognized during the period arising from equity-based compensation arrangements (for example, shares of stock, unit, stock options or other equity instruments) with employees, directors and certain consultants qualifying for treatment as employees.

+ References

Reference 1: http://www.xbrl.org/2003/role/presentationRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 718
-SubTopic 10
-Section S99
-Paragraph 1
-Subparagraph (SAB TOPIC 14.F)
-URI http://asc.fasb.org/extlink&oid=27013229&loc=d3e301413-122809

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-Publisher SEC
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-Number Topic 14
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- Definition

The total recognized tax benefit related to compensation cost for equity-based payment arrangements recognized in income during the period.

+ References

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-Name Accounting Standards Codification
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- Definition

Number of non-option equity instruments exercised by participants.

+ References

Reference 1: http://www.xbrl.org/2003/role/presentationRef
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