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Stock-Based Compensation - Schedule of Pre-Tax Compensation Expense and Related Tax Benefits (Details) - USD ($) $ in Millions	12 Months Ended
	May 30, 2020	Jun. 01, 2019	Jun. 02, 2018
Share-based Compensation Arrangement by Share-based Payment Award
Stock-based compensation	$ 2.7	$ 7.3	$ 7.7
Tax benefit	0.5	1.6	2.3
Employee stock purchase program
Share-based Compensation Arrangement by Share-based Payment Award
Stock-based compensation	0.3	0.3	0.3
Stock option plans
Share-based Compensation Arrangement by Share-based Payment Award
Stock-based compensation	0.6	(0.4)	2.6
Restricted stock units
Share-based Compensation Arrangement by Share-based Payment Award
Stock-based compensation	3.9	4.6	3.9
Performance share units
Share-based Compensation Arrangement by Share-based Payment Award
Stock-based compensation	$ (2.1)	$ 2.8	$ 0.9

X

- Definition

Amount of tax benefit for recognition of expense of award under share-based payment arrangement.

+ 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=120381028&loc=d3e5070-113901

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Amount of noncash expense for share-based payment arrangement.

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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=121586364&loc=d3e3602-108585

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