Reportable Segment Information (Details) $ in Millions	3 Months Ended		9 Months Ended
	Oct. 01, 2022 USD ($)	Oct. 02, 2021 USD ($)	Oct. 01, 2022 USD ($) segment	Oct. 02, 2021 USD ($)	Jan. 01, 2022 USD ($)
Segment Reporting Information [Line Items]
Number of reportable segments | segment			2
Net sales	$ 598.8	$ 586.7	$ 1,792.9	$ 1,581.5
Income (Loss) Before Income Taxes:	81.9	26.2	132.2	73.5
Gain on sale of subsidiary	50.6	0.0	50.6	0.0
Interest expense, net	2.4	1.9	6.5	5.5
Income before income taxes	79.5	24.4	125.8	68.1
Depreciation and Amortization Expense:	21.0	20.9	63.5	62.0
Capital Expenditures (including capitalized software):	15.5	15.5	48.7	47.8
Identifiable Assets:	1,498.6		1,498.6		$ 1,497.9
Workplace furnishings
Segment Reporting Information [Line Items]
Net sales	375.2	393.1	1,135.0	1,040.0
Residential building products
Segment Reporting Information [Line Items]
Net sales	223.6	193.6	657.9	541.5
Operating segments | Workplace furnishings
Segment Reporting Information [Line Items]
Net sales	375.2	393.1	1,135.0	1,040.0
Income (Loss) Before Income Taxes:	5.6	3.9	11.1	9.6
Depreciation and Amortization Expense:	11.3	11.9	34.6	35.9
Capital Expenditures (including capitalized software):	10.0	6.5	26.4	24.0
Identifiable Assets:	807.7		807.7		809.0
Operating segments | Residential building products
Segment Reporting Information [Line Items]
Net sales	223.6	193.6	657.9	541.5
Income (Loss) Before Income Taxes:	39.6	33.4	117.0	103.8
Depreciation and Amortization Expense:	3.2	2.5	9.3	7.4
Capital Expenditures (including capitalized software):	3.6	5.5	12.1	12.1
Identifiable Assets:	517.7		517.7		479.5
General corporate
Segment Reporting Information [Line Items]
Income (Loss) Before Income Taxes:	(14.0)	(11.0)	(46.5)	(39.8)
Depreciation and Amortization Expense:	6.5	6.4	19.6	18.7
Capital Expenditures (including capitalized software):	1.8	$ 3.5	10.2	$ 11.7
Identifiable Assets:	$ 173.3		$ 173.3		$ 209.5