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Stock-Based Compensation - Schedule of Pre-Tax Compensation Expense and Related Tax Benefits (Details) - USD ($) $ in Millions	12 Months Ended
	Jun. 01, 2019	Jun. 02, 2018	Jun. 03, 2017
Share-based Compensation Arrangement by Share-based Payment Award
Stock-based compensation	$ 7.3	$ 7.7	$ 8.7
Tax benefit	1.6	2.3	3.1
Employee Stock Purchase Program
Share-based Compensation Arrangement by Share-based Payment Award
Stock-based compensation	0.3	0.3	0.3
Employee Stock Option
Share-based Compensation Arrangement by Share-based Payment Award
Stock-based compensation	(0.4)	2.6	2.0
Restricted Stock Units
Share-based Compensation Arrangement by Share-based Payment Award
Stock-based compensation	4.6	3.9	3.6
Performance Share Units
Share-based Compensation Arrangement by Share-based Payment Award
Stock-based compensation	$ 2.8	$ 0.9	$ 2.8

X

- Definition

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

+ References

Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 718
-SubTopic 10
-Section 50
-Paragraph 2
-Subparagraph (h)(1)(i)
-URI http://asc.fasb.org/extlink&oid=109197908&loc=d3e5070-113901

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- Definition

The aggregate amount of noncash, equity-based employee remuneration. This may include the value of stock or unit options, amortization of restricted stock or units, and adjustment for officers' compensation. As noncash, this element is an add back when calculating net cash generated by operating activities using the indirect method.

+ References

Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 230
-SubTopic 10
-Section 45
-Paragraph 28
-Subparagraph (a)
-URI http://asc.fasb.org/extlink&oid=109223946&loc=d3e3602-108585

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