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Restructuring and Integration Expense - Additional Information (Details) - USD ($) $ in Millions | 3 Months Ended
--- | ---
Sep. 03, 2022 | Aug. 28, 2021
Restructuring Cost and Reserve [Line Items] |  |
Integration costs | $ 0.5 | $ 0.0
Severance and Employee Benefit |  |
Restructuring Cost and Reserve [Line Items] |  |
Integration costs | 0.5 |
Knoll Integration |  |
Restructuring Cost and Reserve [Line Items] |  |
Integration costs | 4.6 | $ 55.6
Knoll Integration | Severance and Employee Benefit |  |
Restructuring Cost and Reserve [Line Items] |  |
Integration costs | 1.2 |
Knoll Integration | Exit and Disposal Activities |  |
Restructuring Cost and Reserve [Line Items] |  |
Integration costs | 1.4 |
Knoll Integration | Other Restructuring |  |
Restructuring Cost and Reserve [Line Items] |  |
Integration costs | 2.0 |
Knoll Integration | Knoll | Minimum |  |
Restructuring Cost and Reserve [Line Items] |  |
Restructuring and related cost, expected cost | 100.0 |
Knoll Integration | Knoll | Maximum |  |
Restructuring Cost and Reserve [Line Items] |  |
Restructuring and related cost, expected cost | $ 120.0 |

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