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Restructuring and Integration Expense - Summary of Restructuring Expenses by Segment (Details) - USD ($) $ in Millions | 3 Months Ended | 9 Months Ended
--- | --- | ---
Mar. 04, 2023 | Feb. 26, 2022 | Mar. 04, 2023 | Feb. 26, 2022
Restructuring Cost and Reserve [Line Items] |  |  |  |
Restructuring expense | $ 4.6 | $ 0.0 | $ 19.8 | $ 0.0
Americas Contract |  |  |  |
Restructuring Cost and Reserve [Line Items] |  |  |  |
Restructuring expense | 4.4 | 0.0 | 17.5 | 0.0
International Contract & Specialty |  |  |  |
Restructuring Cost and Reserve [Line Items] |  |  |  |
Restructuring expense | 0.0 | 0.0 | 0.7 | 0.0
Retail |  |  |  |
Restructuring Cost and Reserve [Line Items] |  |  |  |
Restructuring expense | 0.2 | 0.0 | 1.6 | 0.0
Knoll Integration |  |  |  |
Restructuring Cost and Reserve [Line Items] |  |  |  |
Restructuring expense | 4.0 | 5.9 | 12.7 | 101.7
Knoll Integration | Corporate |  |  |  |
Restructuring Cost and Reserve [Line Items] |  |  |  |
Restructuring expense | 1.3 | 5.0 | 4.3 | 79.9
Knoll Integration | Americas Contract | Operating Segments |  |  |  |
Restructuring Cost and Reserve [Line Items] |  |  |  |
Restructuring expense | 2.2 | 0.9 | 6.2 | 21.8
Knoll Integration | International Contract & Specialty | Operating Segments |  |  |  |
Restructuring Cost and Reserve [Line Items] |  |  |  |
Restructuring expense | 0.5 | 0.0 | 2.0 | 0.0
Knoll Integration | Retail | Operating Segments |  |  |  |
Restructuring Cost and Reserve [Line Items] |  |  |  |
Restructuring expense | $ 0.0 | $ 0.0 | $ 0.2 | $ 0.0

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