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Restructuring and Integration Expense - Additional Information (Details) - USD ($) | 3 Months Ended | 12 Months Ended
--- | --- | ---
Sep. 02, 2023 | Sep. 03, 2022 | Jun. 03, 2023
Restructuring Cost and Reserve [Line Items] |  |  |
Restructuring expense | $ 5,200,000 | $ 500,000 |
Knoll Integration |  |  |
Restructuring Cost and Reserve [Line Items] |  |  |
Restructuring expense | 3,900,000 | 4,600,000 |
Knoll Integration | Exit and Disposal Activities |  |  |
Restructuring Cost and Reserve [Line Items] |  |  |
Restructuring expense | 3,400,000 |  |
Knoll Integration | Other Restructuring |  |  |
Restructuring Cost and Reserve [Line Items] |  |  |
Restructuring expense | 500,000 | 2,000,000 |
Knoll Integration | Severance and Employee Benefit |  |  |
Restructuring Cost and Reserve [Line Items] |  |  |
Restructuring expense | 0 | 1,200,000 |
Knoll Integration | Lease Termination Costs |  |  |
Restructuring Cost and Reserve [Line Items] |  |  |
Restructuring expense |  | $ 1,400,000 |
Knoll Integration | Knoll |  |  |
Restructuring Cost and Reserve [Line Items] |  |  |
Restructuring and related cost, expected cost | 150,000,000 |  |
2023 Restructuring Plan |  |  |
Restructuring Cost and Reserve [Line Items] |  |  |
Restructuring expense |  |  | $ 34,000,000
Restructuring costs expected | 0 |  |
2023 Restructuring Plan | Severance and Employee Benefit |  |  |
Restructuring Cost and Reserve [Line Items] |  |  |
Restructuring expense | 0 |  | 27,900,000
2023 Restructuring Plan | Severance and Employee Benefit | Minimum |  |  |
Restructuring Cost and Reserve [Line Items] |  |  |
Cost savings |  |  | 30,000,000
2023 Restructuring Plan | Severance and Employee Benefit | Maximum |  |  |
Restructuring Cost and Reserve [Line Items] |  |  |
Cost savings |  |  | 35,000,000
2023 Restructuring Plan | Non-Cash Asset Impairments |  |  |
Restructuring Cost and Reserve [Line Items] |  |  |
Restructuring expense |  |  | $ 6,100,000
2024 Restructuring Plan | Minimum |  |  |
Restructuring Cost and Reserve [Line Items] |  |  |
Annualized expense reduction | 5,000,000 |  |
2024 Restructuring Plan | Maximum |  |  |
Restructuring Cost and Reserve [Line Items] |  |  |
Annualized expense reduction | 6,000,000 |  |
2024 Restructuring Plan | Severance and Employee Benefit |  |  |
Restructuring Cost and Reserve [Line Items] |  |  |
Restructuring expense | $ 5,200,000 |  |

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