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Employee Benefit Plans - Schedule of Fair Value and Allocation of Plan Assets (Details) - USD ($) $ in Millions | Jun. 01, 2019 | Jun. 02, 2018 | Jun. 03, 2017
--- | --- | --- | ---
Defined Benefit Plan Disclosure |  |  |
Defined Benefit Plan, Plan Assets, Amount | $ 88.2 | $ 94.6 |
International |  |  |
Defined Benefit Plan Disclosure |  |  |
Percentage of Plan Assets at Year End | 10000.00% | 10000.00% |
Defined Benefit Plan, Plan Assets, Amount | $ 88.2 | $ 94.6 | $ 80.5
International | Level 1 |  |  |
Defined Benefit Plan Disclosure |  |  |
Defined Benefit Plan, Plan Assets, Amount | 0.0 | 0.2 |
International | Level 2 |  |  |
Defined Benefit Plan Disclosure |  |  |
Defined Benefit Plan, Plan Assets, Amount | $ 88.2 | $ 94.4 |
International | Fixed income |  |  |
Defined Benefit Plan Disclosure |  |  |
Targeted Asset Allocation Percentage | 35.00% | 35.00% |
Percentage of Plan Assets at Year End | 3300.00% | 3600.00% |
International | Common collective trusts |  |  |
Defined Benefit Plan Disclosure |  |  |
Targeted Asset Allocation Percentage | 65.00% | 65.00% |
Percentage of Plan Assets at Year End | 6700.00% | 6400.00% |
Defined Benefit Plan, Plan Assets, Amount | $ 58.9 | $ 61.0 |
International | Common collective trusts | Level 1 |  |  |
Defined Benefit Plan Disclosure |  |  |
Defined Benefit Plan, Plan Assets, Amount | 0.0 | 0.0 |
International | Common collective trusts | Level 2 |  |  |
Defined Benefit Plan Disclosure |  |  |
Defined Benefit Plan, Plan Assets, Amount | 58.9 | 61.0 |
International | Cash and cash equivalents |  |  |
Defined Benefit Plan Disclosure |  |  |
Defined Benefit Plan, Plan Assets, Amount | 0.0 | 0.2 |
International | Cash and cash equivalents | Level 1 |  |  |
Defined Benefit Plan Disclosure |  |  |
Defined Benefit Plan, Plan Assets, Amount | 0.0 | 0.2 |
International | Cash and cash equivalents | Level 2 |  |  |
Defined Benefit Plan Disclosure |  |  |
Defined Benefit Plan, Plan Assets, Amount | 0.0 | 0.0 |
International | Foreign government obligations |  |  |
Defined Benefit Plan Disclosure |  |  |
Defined Benefit Plan, Plan Assets, Amount | 29.3 | 33.4 |
International | Foreign government obligations | Level 1 |  |  |
Defined Benefit Plan Disclosure |  |  |
Defined Benefit Plan, Plan Assets, Amount | 0.0 | 0.0 |
International | Foreign government obligations | Level 2 |  |  |
Defined Benefit Plan Disclosure |  |  |
Defined Benefit Plan, Plan Assets, Amount | $ 29.3 | $ 33.4 |

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