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Income Taxes - Schedule of Effective Income Tax Rate Reconciliation (Details) - USD ($) $ in Millions | 12 Months Ended
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Jun. 01, 2024 | Jun. 03, 2023 | May 28, 2022
Income Tax Disclosure [Abstract] |  |  |
Effective tax rate (as percent) | 21.00% |  |
Income taxes computed at the United States Statutory rate | $ 20.9 | $ 10.8 | $ (1.8)
State and local income taxes, net of federal income tax benefit | 0.4 | (1.0) | (4.0)
Non-deductible officers' compensation | 1.1 | 0.9 | 5.3
Foreign-derived intangible income | (2.4) | (1.7) | 0.0
Foreign-based company income | 3.8 | 5.1 | 3.1
Global intangible low-taxed income | 8.1 | 9.4 | 15.2
Foreign statutory rate differences | 3.1 | 2.3 | 4.1
Research and development incentives | (7.1) | (4.0) | (4.8)
Federal return to provision adjustments | (1.8) | (4.1) | (0.6)
Foreign return to provision adjustments | (2.5) | 1.1 | (0.9)
Foreign tax credit | (12.1) | (15.6) | (8.8)
Foreign withholding taxes and other miscellaneous foreign taxes | 1.1 | 1.2 | 2.4
Change in valuation allowance against deferred tax assets | 2.5 | 1.3 | 0.4
Other, net | (0.4) | (1.2) | 1.5
Income tax expense | $ 14.7 | $ 4.5 | $ 11.1
Effective tax rate | 14.80% | 8.80% | (130.10%)

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