Stock-Based Compensation (Details) - USD ($) $ in Millions	3 Months Ended	9 Months Ended
Mar. 03, 2018	Mar. 04, 2017	Mar. 03, 2018	Mar. 04, 2017
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Stock-based compensation expense	$ 1.8	$ 2.7	$ 4.8	$ 9.2
Related income tax effect	$ 0.5	$ 1.0	$ 1.4	$ 3.3
Employee Service Share-based Compensation, Aggregate Disclosures [Abstract]
Stock Options			506,565	211,566
Restricted Stock Units (RSUs)
Employee Service Share-based Compensation, Aggregate Disclosures [Abstract]
Restricted Stock Units			116,981	89,290
Performance Share Units			116,981	89,290
Performance Share Units
Employee Service Share-based Compensation, Aggregate Disclosures [Abstract]
Restricted Stock Units			130,179	113,040
Performance Share Units			130,179	113,040

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.

Reference 1: http://www.xbrl.org/2003/role/presentationRef
-Publisher FASB
-Name Accounting Standards Codification
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The total recognized tax benefit related to compensation cost for equity-based payment arrangements recognized in income during the period.

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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.

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Number of non-option equity instruments exercised by participants.

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Number of share options (or share units) exercised during the current period.

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