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Income Taxes - Effective Income Tax Rate Reconciliation (Details) - USD ($) $ in Millions | 12 Months Ended
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Jun. 01, 2019 | Jun. 02, 2018 | Jun. 03, 2017
Income Tax Disclosure [Abstract] |  |  |
Income taxes computed at the United States Statutory rate | $ 41.0 | $ 49.0 | $ 62.2
Remeasurement of U.S. deferred tax assets and liabilities due to the Tax Act | (0.2) | (8.9) | 0.0
U.S. tax liability on undistributed foreign earnings due to the Tax Act | (2.6) | 9.0 | 0.0
Foreign-derived intangible income | (3.1) |  |
Global intangible low-taxed income | 6.9 |  |
Foreign statutory rate differences | 1.9 | (4.0) | (5.7)
Manufacturing deduction under the American Jobs Creation Act of 2004 | 0.0 | (2.7) | (3.4)
State taxes | 4.9 | 3.3 | 3.8
United Kingdom patent box deduction for research and development | (1.9) | (1.8) | (2.6)
Research and development credit | (3.4) | (2.4) | (1.4)
Foreign tax credit | (5.7) | (2.4) | (0.6)
Other, net | 1.8 | 3.3 | 2.8
Income tax expense | $ 39.6 | $ 42.4 | $ 55.1
Effective tax rate | 20.30% | 25.20% | 31.10%

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