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Reportable Segment Information - Business Segment Information (Details)
$ in Millions
 12 Months Ended
Dec. 30, 2023
USD ($)
segment
Dec. 31, 2022
USD ($)
Jan. 01, 2022
USD ($)
Segment Reporting Information [Line Items]      
Number of reportable segments | segment 2    
Net sales $ 2,434.0 $ 2,361.8 $ 2,184.4
Gain on sale of subsidiary 0.0 50.4 0.0
Operating income 90.3 155.2 85.4
Interest expense, net 25.5 8.8 7.2
Total 64.8 146.4 78.3
Depreciation and Amortization Expense: 94.9 84.2 83.1
Capital Expenditures (including capitalized software): 79.1 68.4 66.5
Identifiable Assets: 1,928.8 1,414.5 1,497.9
Workplace furnishings      
Segment Reporting Information [Line Items]      
Net sales 1,740.3 1,486.2 1,434.0
Residential building products      
Segment Reporting Information [Line Items]      
Net sales 693.7 875.6 750.4
Operating | Workplace furnishings      
Segment Reporting Information [Line Items]      
Net sales 1,740.3 1,486.2 1,434.0
Operating profit 68.6 3.4 (0.5)
Depreciation and Amortization Expense: 59.5 45.7 47.8
Capital Expenditures (including capitalized software): 62.7 40.4 34.8
Identifiable Assets: 1,311.4 761.5 809.0
Operating | Residential building products      
Segment Reporting Information [Line Items]      
Net sales 693.7 875.6 750.4
Operating profit 116.6 158.7 141.9
Depreciation and Amortization Expense: 13.7 12.6 10.0
Capital Expenditures (including capitalized software): 12.6 16.2 16.1
Identifiable Assets: 467.1 493.0 479.5
General corporate      
Segment Reporting Information [Line Items]      
General corporate (94.9) (57.3) (55.9)
Depreciation and Amortization Expense: 21.6 25.9 25.3
Capital Expenditures (including capitalized software): 3.7 11.7 15.6
Identifiable Assets: $ 150.3 $ 160.0 $ 209.5