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Income Taxes - Effective Income Tax Rate Reconciliation (Details) - USD ($) $ in Millions | 12 Months Ended
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May 30, 2020 | Jun. 01, 2019 | Jun. 02, 2018
Income Tax Disclosure [Abstract] |  |  |
Income taxes computed at the United States Statutory rate | $ (2.8) | $ 41.0 | $ 49.0
State and local income taxes, net of federal income tax benefit | 1.4 | 4.9 | 3.3
Non-deductible goodwill impairment | 17.1 | 0.0 | 0.0
Gain on consolidation of equity method investments | (5.5) | 0.0 | 0.0
Remeasurement of U.S. deferred tax assets and liabilities due to the Tax Act | 0.0 | (0.2) | (8.9)
U.S. tax liability on undistributed foreign earnings due to the Tax Act | 0.0 | (2.6) | 9.0
Foreign-derived intangible income | (1.4) | (3.1) | 0.0
Global intangible low-taxed income | 5.9 | 6.9 | 0.0
Foreign statutory rate differences | 0.7 | 1.9 | (4.0)
Manufacturing deduction under the American Jobs Creation Act of 2004 | 0.0 | 0.0 | (2.7)
Research and development credit | (4.4) | (5.3) | (4.2)
Foreign offshore income claim | (1.7) | (0.7) | 0.0
Foreign tax credit | (5.8) | (5.7) | (2.4)
Foreign withholding taxes and other miscellaneous foreign taxes | 2.7 | 0.8 | 1.9
Other, net | (0.2) | 1.7 | 1.4
Income tax expense | $ 6.0 | $ 39.6 | $ 42.4
Effective tax rate | (44.90%) | 20.30% | 25.20%

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