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Restructuring Expenses (Details) - USD ($) $ in Millions | 12 Months Ended | 24 Months Ended | 36 Months Ended
--- | --- | --- | ---
May 30, 2020 | Jun. 01, 2019 | Jun. 02, 2018 | May 30, 2020 | May 30, 2020
Restructuring Cost and Reserve [Line Items] |  |  |  |  |
Restructuring expenses | $ 26.4 | $ 10.2 | $ 5.7 |  |
International Contract |  |  |  |  |
Restructuring Cost and Reserve [Line Items] |  |  |  |  |
Restructuring expenses | 4.8 | 2.5 | 3.9 |  |
North America Contract |  |  |  |  |
Restructuring Cost and Reserve [Line Items] |  |  |  |  |
Restructuring expenses | 18.7 | 7.7 | 1.8 |  |
Retail |  |  |  |  |
Restructuring Cost and Reserve [Line Items] |  |  |  |  |
Restructuring expenses | 2.9 | $ 0.0 | $ 0.0 |  |
Facilities Consolidation Plan | International Contract |  |  |  |  |
Restructuring Cost and Reserve [Line Items] |  |  |  |  |
Restructuring & impairment expenses | 1.4 |  |  |  | $ 7.8
Assets Held-for-sale, Long Lived, Fair Value Disclosure | 7.8 |  |  | $ 7.8 | 7.8
Facilities Consolidation Plan | International Contract | Exit or Disposal Activities |  |  |  |  |
Restructuring Cost and Reserve [Line Items] |  |  |  |  |
Effect on Future Earnings, Amount | 3.0 |  |  |  |
Profit Improvement Plan | North America Contract |  |  |  |  |
Restructuring Cost and Reserve [Line Items] |  |  |  |  |
Effect on Future Earnings, Amount | 10.0 |  |  |  |
Restructuring expenses | 1.7 |  |  | 11.1 |
Nemschoff Plan | North America Contract |  |  |  |  |
Restructuring Cost and Reserve [Line Items] |  |  |  |  |
Restructuring expenses | 3.2 |  |  |  |
Restructuring and Related Cost, Expected Cost | 5.0 |  |  | $ 5.0 | $ 5.0
North American Sales and Global Product Teams Plan |  |  |  |  |
Restructuring Cost and Reserve [Line Items] |  |  |  |  |
Restructuring expenses | 2.6 |  |  |  |
Retail Plan | Retail | Severance and employee related expenses |  |  |  |  |
Restructuring Cost and Reserve [Line Items] |  |  |  |  |
Restructuring expenses | 2.2 |  |  |  |
May 2020 Restructuring Plan | Severance and employee related expenses |  |  |  |  |
Restructuring Cost and Reserve [Line Items] |  |  |  |  |
Effect on Future Earnings, Amount | 40.0 |  |  |  |
Restructuring expenses | $ 15.3 |  |  |  |

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