Segment Information - Schedule of Segment Reporting Information (Details) - USD ($) $ in Thousands	12 Months Ended
	Jun. 30, 2025	Jun. 30, 2024	Jun. 30, 2023
Segment Reporting Information [Line Items]
Net Sales	$ 1,559,780	$ 1,736,286	$ 1,796,643
Adjusted EBITDA	113,789	154,522	166,622
Depreciation and amortization	(44,259)	(44,665)	(50,777)
Equity in net loss of equity-method investees	(1,813)	(2,581)	(1,134)
Interest expense, net	(47,773)	(54,232)	(43,936)
(Provision) benefit for income taxes	(15,297)	7,820	14,178
Stock-based compensation, net	(8,149)	(12,704)	(14,423)
Unrealized currency (losses) gains	(3,823)	(17)	(929)
Certain litigation expenses, net	(3,473)	(7,262)	(1,369)
Restructuring activities
Restructuring activities	(25,814)	(60,248)
Acquisitions, divestitures and other
Transaction and integration costs, net	488	34	(2,018)
Gain (loss) on sale of assets	3,194	(4,384)	3,529
Impairment charges
Impairment charges	(428,882)	0	0
Intangibles and long-lived asset impairment	(66,940)	(76,143)	(175,501)
Other Impairment Charges	0	(1,443)	0
Net loss	(530,841)	(75,042)	(116,537)
Productivity and transformation costs
Restructuring activities
Restructuring activities	(21,530)	(27,741)	(7,284)
Plant closure related costs, net
Restructuring activities
Restructuring activities	(1,215)	(5,251)	(94)
Warehouse/manufacturing consolidation and other costs, net
Restructuring activities
Restructuring activities	(384)	(995)	(1,026)
CEO succession
Restructuring activities
Restructuring activities	(4,774)	0	(5,113)
North America
Impairment charges
Impairment charges	(357,679)
International
Impairment charges
Impairment charges	(71,203)
Operating Segments
Segment Reporting Information [Line Items]
Net Sales	1,559,780	1,736,286	1,796,643
Cost of sales, adjusted to exclude restructuring activities	(1,223,957)	(1,346,492)	(1,399,120)
Marketing expense	(60,222)	(63,649)	(63,663)
Adjusted selling, general and administrative expenses	(167,190)	(177,242)	(179,985)
Depreciation and amortization and other adjustments	43,059	44,799	52,513
Adjusted EBITDA	151,470	193,702	206,388
Operating Segments | North America
Segment Reporting Information [Line Items]
Net Sales	888,626	1,055,527	1,139,162
Cost of sales, adjusted to exclude restructuring activities	(693,951)	(816,680)	(875,608)
Marketing expense	(41,462)	(45,294)	(45,830)
Adjusted selling, general and administrative expenses	(102,867)	(112,728)	(117,277)
Depreciation and amortization and other adjustments	15,124	17,903	22,996
Adjusted EBITDA	65,470	98,728	123,443
Operating Segments | International
Segment Reporting Information [Line Items]
Net Sales	671,154	680,759	657,481
Cost of sales, adjusted to exclude restructuring activities	(530,006)	(529,812)	(523,512)
Marketing expense	(18,760)	(18,355)	(17,833)
Adjusted selling, general and administrative expenses	(64,323)	(64,514)	(62,708)
Depreciation and amortization and other adjustments	27,935	26,896	29,517
Adjusted EBITDA	86,000	94,974	82,945
Corporate and Other
Segment Reporting Information [Line Items]
Adjusted EBITDA	(37,681)	(39,180)	$ (39,766)
Restructuring activities
Restructuring activities	$ (10,026)	$ (20,753)