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Stock-Based Compensation - Schedule of Pre-Tax Compensation Expense and Related Tax Benefits (Details) - USD ($) $ in Millions | 12 Months Ended
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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

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- 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 + Details
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- Definition Amount of noncash expense for share-based payment arrangement. + 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=121586364&loc=d3e3602-108585 + Details
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