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Employee Benefit Plans - Schedule of Amounts Recognized in Other Comprehensive Income (Loss) (Details) - Pension Plan - USD ($) $ in Millions | 12 Months Ended
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Jun. 01, 2024 | Jun. 03, 2023
Domestic |  |
Defined Benefit Plan Disclosure |  |
Net actuarial loss (gain) | $ 7.8 | $ (2.2)
Net amortization | 0.1 | 0.1
Settlement charge | 0.0 | 0.6
Effect of exchange rates | 0.0 | 0.0
Total recognized in other comprehensive loss | 7.9 | (1.5)
International |  |
Defined Benefit Plan Disclosure |  |
Net actuarial loss (gain) | 3.1 | (12.4)
Net amortization | (0.1) | (2.3)
Settlement charge | 0.0 | 0.0
Effect of exchange rates | 0.7 | (1.1)
Total recognized in other comprehensive loss | $ 3.7 | $ (15.8)

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