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Restructuring and Integration Expense - Schedule of Restructuring Expenses by Segment (Details) - USD ($) | 3 Months Ended | 9 Months Ended
--- | --- | ---
Mar. 01, 2025 | Mar. 02, 2024 | Mar. 01, 2025 | Mar. 02, 2024
Restructuring Cost and Reserve [Line Items] |  |  |  |
Restructuring expense | $ 4,200,000 | $ 1,700,000 | $ 4,200,000 | $ 8,700,000
North America Contract |  |  |  |
Restructuring Cost and Reserve [Line Items] |  |  |  |
Restructuring expense | 2,400,000 | 1,500,000 | 2,400,000 | 6,100,000
International Contract |  |  |  |
Restructuring Cost and Reserve [Line Items] |  |  |  |
Restructuring expense | 1,700,000 | 100,000 | 1,700,000 | 1,300,000
Global Retail |  |  |  |
Restructuring Cost and Reserve [Line Items] |  |  |  |
Restructuring expense | 100,000 | 100,000 | 100,000 | 1,300,000
Knoll Integration |  |  |  |
Restructuring Cost and Reserve [Line Items] |  |  |  |
Restructuring expense | 0 | 7,600,000 | 28,300,000 | 18,400,000
Knoll Integration | Corporate |  |  |  |
Restructuring Cost and Reserve [Line Items] |  |  |  |
Restructuring expense | 0 | 0 | 0 | 100,000
Knoll Integration | North America Contract | Operating Segments |  |  |  |
Restructuring Cost and Reserve [Line Items] |  |  |  |
Restructuring expense | 0 | 7,600,000 | 24,800,000 | 18,100,000
Knoll Integration | International Contract | Operating Segments |  |  |  |
Restructuring Cost and Reserve [Line Items] |  |  |  |
Restructuring expense | 0 | 0 | 3,200,000 | 200,000
Knoll Integration | Global Retail | Operating Segments |  |  |  |
Restructuring Cost and Reserve [Line Items] |  |  |  |
Restructuring expense | $ 0 | $ 0 | $ 300,000 | $ 0

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