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Restructuring Expenses (Details) - USD ($) $ in Millions | 3 Months Ended | 12 Months Ended
--- | --- | ---
Aug. 29, 2020 | May 30, 2020 | May 29, 2021 | May 30, 2020 | Jun. 01, 2019
Restructuring Cost and Reserve [Line Items] |  |  |  |  |
Restructuring expenses |  |  | $ 2.7 | $ 26.4 | $ 10.2
International Contract |  |  |  |  |
Restructuring Cost and Reserve [Line Items] |  |  |  |  |
Restructuring expenses |  |  | (1.1) | 4.8 | 2.5
North America Contract |  |  |  |  |
Restructuring Cost and Reserve [Line Items] |  |  |  |  |
Restructuring expenses |  |  | 3.8 | 18.7 | 7.7
Retail |  |  |  |  |
Restructuring Cost and Reserve [Line Items] |  |  |  |  |
Restructuring expenses |  |  | 0.0 | $ 2.9 | $ 0.0
Facilities Consolidation Plan | International Contract | Exit or Disposal Activities |  |  |  |  |
Restructuring Cost and Reserve [Line Items] |  |  |  |  |
Effect on Future Earnings, Amount |  |  | 3.0 |  |
Restructuring costs incurred to date |  |  | 5.9 |  |
Restructuring & impairment expenses |  |  | (1.9) |  |
Future restructuring costs expected |  |  | 0.0 |  |
Gain on sale of building and related assets | $ 3.4 |  |  |  |
Nemschoff Plan | North America Contract |  |  |  |  |
Restructuring Cost and Reserve [Line Items] |  |  |  |  |
Restructuring costs incurred to date |  |  | 3.1 |  |
Future restructuring costs expected |  |  | 0.0 |  |
Restructuring expenses |  |  | (0.1) |  |
North American Sales and Global Product Teams Plan | North America Contract |  |  |  |  |
Restructuring Cost and Reserve [Line Items] |  |  |  |  |
Restructuring costs incurred to date |  |  | 2.6 |  |
Future restructuring costs expected |  |  | 0.0 |  |
Retail Plan | Retail | Severance and employee related expenses |  |  |  |  |
Restructuring Cost and Reserve [Line Items] |  |  |  |  |
Restructuring expenses |  | $ 2.2 |  |  |
May 2020 Restructuring Plan |  |  |  |  |
Restructuring Cost and Reserve [Line Items] |  |  |  |  |
Restructuring costs incurred to date |  |  | 18.7 |  |
Restructuring expenses |  |  | 3.4 |  |
May 2020 Restructuring Plan | Severance and employee related expenses |  |  |  |  |
Restructuring Cost and Reserve [Line Items] |  |  |  |  |
Effect on Future Earnings, Amount |  |  | $ 40.0 |  |

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