Segment Information - Schedule of Segment Reporting Information (Details) - USD ($) $ in Thousands	3 Months Ended				6 Months Ended
	Dec. 31, 2025	Sep. 30, 2025	Dec. 31, 2024	Sep. 30, 2024	Dec. 31, 2025	Dec. 31, 2024
Segment Reporting Information [Line Items]
Net sales	$ 384,120		$ 411,485		$ 752,003	$ 806,081
Adjusted EBITDA	24,282		37,893		44,014	60,268
Depreciation and amortization	(11,149)		(11,020)		(26,560)	(22,447)
Equity in net loss of equity-method investees	(133)		(588)		(306)	(743)
Interest expense, net	(14,066)		(11,993)		(27,208)	(24,988)
Provision for income taxes	(2,386)		(2,728)		(1,130)	(6,251)
Stock-based compensation, net	(1,051)		(3,573)		(3,054)	(6,449)
Unrealized currency (losses) gains	(139)		1,624		(404)	430
Proceeds from insurance claim	25,900		0		25,900	0
Certain litigation expenses, net	182		(1,020)		(645)	(1,847)
Acquisitions, divestitures and other
Gain (loss) on sale of assets	1,142		1,626		2,028	(2,308)
Transaction and integration costs, net	(1,009)		105		(3,182)	423
Impairment charges
Goodwill impairment	(119,908)		(91,267)		(119,908)	(91,267)
Intangibles and long-lived asset impairment	(11,917)		(17,986)		(11,917)	(18,017)
Net loss	(116,006)	$ (20,625)	(103,975)	$ (19,663)	(136,631)	(123,638)
Productivity and transformation costs
Restructuring activities
Restructuring activities	(5,234)		(4,190)		(13,453)	(9,208)
Plant closure related costs, net
Restructuring activities
Restructuring activities	(520)		(858)		(806)	(1,234)
North America
Impairment charges
Goodwill impairment					38,495
International
Impairment charges
Goodwill impairment					81,413
Operating Segments
Segment Reporting Information [Line Items]
Net sales	384,120		411,485		752,003	806,081
Cost of sales, adjusted to exclude restructuring activities	(309,250)		(317,175)		(605,266)	(629,831)
Marketing expense	(15,953)		(15,559)		(26,854)	(28,595)
Adjusted selling, general and administrative expenses	(38,221)		(43,199)		(79,064)	(90,550)
Depreciation and amortization and other adjustments	9,214		12,281		18,655	23,557
Adjusted EBITDA	29,909		47,833		59,473	80,662
Operating Segments | North America
Segment Reporting Information [Line Items]
Net sales	197,821		229,289		401,741	460,429
Cost of sales, adjusted to exclude restructuring activities	(156,641)		(171,505)		(314,358)	(355,031)
Marketing expense	(10,790)		(10,944)		(17,714)	(19,589)
Adjusted selling, general and administrative expenses	(22,451)		(26,063)		(47,294)	(56,990)
Depreciation and amortization and other adjustments	2,973		4,530		5,545	8,947
Adjusted EBITDA	10,911		25,307		27,920	37,766
Operating Segments | International
Segment Reporting Information [Line Items]
Net sales	186,299		182,196		350,262	345,652
Cost of sales, adjusted to exclude restructuring activities	(152,609)		(145,670)		(290,908)	(274,800)
Marketing expense	(5,163)		(4,615)		(9,140)	(9,006)
Adjusted selling, general and administrative expenses	(15,770)		(17,136)		(31,770)	(33,560)
Depreciation and amortization and other adjustments	6,241		7,751		13,110	14,610
Adjusted EBITDA	18,998		22,526		31,553	42,896
Corporate and Other
Segment Reporting Information [Line Items]
Adjusted EBITDA	$ (5,627)		$ (9,940)		$ (15,459)	$ (20,394)