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Income Taxes - Schedule of Effective Income Tax Rate Reconciliation (Details) - USD ($)
$ in Millions
12 Months Ended
May 31, 2025
Jun. 01, 2024
Jun. 03, 2023
Income Tax Disclosure [Abstract]      
Effective tax rate (as percent) 21.00%    
Income taxes computed at the United States Statutory rate $ (4.6) $ 20.9 $ 10.8
State and local income taxes, net of federal income tax benefit 0.0 0.4 (1.0)
Non-deductible goodwill impairment 19.5 0.0 0.0
Non-deductible officers' compensation 2.8 1.1 0.9
Foreign-derived intangible income (3.1) (2.4) (1.7)
Foreign-based company income 5.1 3.8 5.1
Global intangible low-taxed income 8.3 8.1 9.4
Foreign statutory rate differences 2.5 3.1 2.3
Research and development incentives (6.0) (7.1) (4.0)
Foreign offshore income claim (1.5) (1.0) (0.7)
Federal return to provision adjustments (1.6) (1.8) (4.1)
Foreign return to provision adjustments (0.1) (2.5) 1.1
Foreign tax credit (12.9) (12.1) (15.6)
Foreign withholding taxes and other miscellaneous foreign taxes 2.9 1.1 1.2
Change in valuation allowance against deferred tax assets 1.1 2.5 1.3
Other, net (0.8) 0.6 (0.5)
Income tax expense $ 11.6 $ 14.7 $ 4.5
Effective tax rate (53.10%) 14.80% 8.80%