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Impairment Charges - Summary of Changes In The Carrying Amounts Of Goodwill (Details) - USD ($) $ in Millions	9 Months Ended	12 Months Ended
	Sep. 30, 2024	Dec. 31, 2023	Jun. 30, 2024	Jun. 30, 2023
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]
Goodwill value	$ 814.7	$ 1,489.8
Terminal Values Long-term Growth Rate for Debt-Free Cash Flow	3.00%	3.00%
Bedding
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]
Goodwill value	$ 319.8	$ 906.5
Percentage of fair value in excess of carrying amount (as a percent)		19.00%		40.00%
Aerospace Products
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]
Goodwill value	67.7	$ 67.0
Percentage of fair value in excess of carrying amount (as a percent)			21.00%	44.00%
Work Furniture
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]
Goodwill value	$ 55.4	99.6
Percentage of fair value in excess of carrying amount (as a percent)				74.00%
Hydraulic Cylinders
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]
Goodwill value		$ 44.6
Percentage of fair value in excess of carrying amount (as a percent)				18.00%
Minimum
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]
Compound annual growth rate range for sales	(1.00%)	1.00%
Discount rate ranges (as a percent)	14.00%	8.00%
Maximum
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]
Compound annual growth rate range for sales	12.00%	17.00%
Discount rate ranges (as a percent)	17.00%	12.00%
Less than 50%
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]
Fair Value over Carrying Value divided by Carrying Value	50.00%	50.00%
Goodwill value	$ 442.9	$ 1,018.1
Terminal Values Long-term Growth Rate for Debt-Free Cash Flow	3.00%	3.00%
Less than 50% | Minimum
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]
Compound annual growth rate range for sales	(1.00%)	1.00%
Discount rate ranges (as a percent)	14.00%	10.00%
Less than 50% | Maximum
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]
Compound annual growth rate range for sales	12.00%	17.00%
Discount rate ranges (as a percent)	17.00%	12.00%
50% - 100%
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]
Goodwill value		$ 99.6
Terminal Values Long-term Growth Rate for Debt-Free Cash Flow		3.00%
Discount rate ranges (as a percent)		8.00%
50% - 100% | Minimum
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]
Fair Value over Carrying Value divided by Carrying Value		50.00%
Compound annual growth rate range for sales
50% - 100% | Maximum
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]
Fair Value over Carrying Value divided by Carrying Value		100.00%
Compound annual growth rate range for sales		1.00%
101% - 300%
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]
Goodwill value	$ 371.8	$ 372.1
Terminal Values Long-term Growth Rate for Debt-Free Cash Flow	3.00%	3.00%
101% - 300% | Minimum
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]
Fair Value over Carrying Value divided by Carrying Value	101.00%	101.00%
Compound annual growth rate range for sales	3.00%	3.00%
Discount rate ranges (as a percent)		8.00%
101% - 300% | Maximum
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]
Fair Value over Carrying Value divided by Carrying Value	300.00%	300.00%
Compound annual growth rate range for sales	7.00%	6.00%
Discount rate ranges (as a percent)	14.00%	10.00%

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