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Stock-Based Compensation (Details) - USD ($) $ in Millions | 3 Months Ended | 9 Months Ended
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Mar. 02, 2024 | Mar. 04, 2023 | Mar. 02, 2024 | Mar. 04, 2023
Stock-Based Compensation [Abstract] |  |  |  |
Stock-based compensation expense | $ 5.4 | $ 4.8 | $ 17.1 | $ 15.7
Related income tax effect | $ 1.3 | $ 1.2 | $ 4.1 | $ 3.8

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- Definition 14. Stock-Based Compensation [Abstract] + References No definition available. + Details
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- Definition Amount of expense for award under share-based payment arrangement. Excludes amount capitalized. + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Topic 718 -SubTopic 10 -Name Accounting Standards Codification -Section S99 -Paragraph 1 -Subparagraph (SAB Topic 14.F) -Publisher FASB -URI https://asc.fasb.org//1943274/2147479830/718-10-S99-1 Reference 2: http://www.xbrl.org/2003/role/disclosureRef -Topic 718 -SubTopic 10 -Name Accounting Standards Codification -Section 50 -Paragraph 2 -Subparagraph (h)(1)(i) -Publisher FASB -URI https://asc.fasb.org//1943274/2147480429/718-10-50-2 + Details
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- Definition Amount of tax benefit for recognition of expense of award under share-based payment arrangement. + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Topic 718 -SubTopic 10 -Name Accounting Standards Codification -Section 50 -Paragraph 2 -Subparagraph (h)(1)(i) -Publisher FASB -URI https://asc.fasb.org//1943274/2147480429/718-10-50-2 + Details
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