Summary of Significant Accounting Policies - Additional Information (Details)			1 Months Ended	3 Months Ended		12 Months Ended
	May 10, 2022 USD ($)	Feb. 28, 2020 USD ($)	Jun. 30, 2020 USD ($)	Dec. 31, 2022 USD ($)	Jul. 02, 2022 USD ($)	Dec. 31, 2022 USD ($) segment segment_component reporting_unit	Jan. 01, 2022 USD ($)	Jan. 02, 2021 USD ($)
Significant Accounting Policies [Line Items]
Additional revenue, impact of additional week in fiscal year								$ 19,400,000
Additional operating income, impact of additional week in fiscal year								3,900,000
Number of reporting segments | segment						2
Accounts payable and accrued liabilities				$ 425,100,000		$ 425,100,000	$ 437,700,000
Other long-term liabilities				65,200,000		65,200,000	64,900,000
Cost of sales						921,700,000	915,900,000	839,600,000
Advertising costs						$ 23,900,000	21,700,000	21,200,000
Share-based compensation award vesting period						3 years
Number of operating segments | segment						4
Goodwill impairment						$ 11,200,000
Goodwill				1,293,000,000		1,293,000,000	1,321,400,000	1,284,300,000
Intangible assets subject to amortization, net of accumulated amortization				456,100,000		456,100,000	509,900,000
Finite-lived intangible asset impairment						0	0	0
Acquired rights				438,600,000		438,600,000	459,900,000
Loss on disposal of property, plant and equipment, net						8,500,000	9,300,000	$ 10,600,000
Insurance reserves				16,900,000		$ 16,900,000	20,700,000
Impairment, Intangible Asset, Indefinite-Lived (Excluding Goodwill), Statement of Income or Comprehensive Income [Extensible Enumeration]								Impairment charges
Corporate, Non-Segment
Significant Accounting Policies [Line Items]
Number of segment components | segment_component						2
Goodwill impairment						$ 0
Goodwill				109,000,000.0		109,000,000.0	123,300,000	$ 121,700,000
Valuation, Guideline Public Company Approach
Significant Accounting Policies [Line Items]
Reporting unit, measurement input					0.500
Valuation, Income Approach
Significant Accounting Policies [Line Items]
Reporting unit, measurement input					0.500
Accounts Payable and Accrued Liabilities, and Other Long-term Liabilities
Significant Accounting Policies [Line Items]
Insurance reserves				58,700,000		58,700,000	60,100,000
Accounts Receivable, Net and Other Long-Term Assets
Significant Accounting Policies [Line Items]
Insurance reserves, covered by insurance				12,300,000		12,300,000	17,200,000
Trademarks
Significant Accounting Policies [Line Items]
Acquired rights				437,200,000		437,200,000	459,200,000
Customer relationships
Significant Accounting Policies [Line Items]
Intangible assets subject to amortization, net of accumulated amortization				416,400,000		416,400,000	462,700,000
Software
Significant Accounting Policies [Line Items]
Intangible assets subject to amortization, net of accumulated amortization				21,400,000		21,400,000	23,700,000
Patents
Significant Accounting Policies [Line Items]
Intangible assets subject to amortization, net of accumulated amortization				8,200,000		8,200,000	10,500,000
DSSAqua Reporting Unit
Significant Accounting Policies [Line Items]
Goodwill				981,200,000		981,200,000
Mountain Valley Reporting Unit
Significant Accounting Policies [Line Items]
Goodwill				16,000,000		16,000,000
Eden Europe Reporting Unit
Significant Accounting Policies [Line Items]
Goodwill				184,600,000		184,600,000
Eden Israel Reporting Unit
Significant Accounting Policies [Line Items]
Goodwill				61,400,000		61,400,000
Eden Israel Reporting Unit | Trademarks
Significant Accounting Policies [Line Items]
Goodwill impairment	$ 0
Percentage of fair value exceeding carrying value of reporting units	103.00%
Aimia Reporting Unit
Significant Accounting Policies [Line Items]
Goodwill				47,600,000		47,600,000
Decantae Reporting Unit
Significant Accounting Policies [Line Items]
Goodwill				1,200,000		1,200,000
Fonthill Reporting Unit
Significant Accounting Policies [Line Items]
Goodwill				1,000,000		1,000,000
Eden Reporting Unit | Trademarks
Significant Accounting Policies [Line Items]
Goodwill impairment	$ 0
Percentage of fair value exceeding carrying value of reporting units	9.00%
Eden Europe And Eden Israel Reporting Units
Significant Accounting Policies [Line Items]
Goodwill impairment				0		$ 0
Number of reporting units | reporting_unit						2
North America Segment And Europe Segment
Significant Accounting Policies [Line Items]
Number of reporting segments | segment						2
North America
Significant Accounting Policies [Line Items]
Number of segment components | segment_component						3
Europe
Significant Accounting Policies [Line Items]
Number of segment components | segment_component						3
Europe | Eden Reporting Unit | Measurement Input, Weighted Average Terminal Growth Rate
Significant Accounting Policies [Line Items]
Reporting unit, measurement input					0.015
Europe | Eden Reporting Unit | Measurement Input, Discount Rate
Significant Accounting Policies [Line Items]
Reporting unit, measurement input					0.090
Shipping and Handling | Selling, General and Administrative Expenses | North America Segment And Europe Segment
Significant Accounting Policies [Line Items]
Cost of sales						$ 536,700,000	477,200,000	441,400,000
2020 Restructuring Plan
Significant Accounting Policies [Line Items]
Restructuring charges								10,500,000
2020 Restructuring Plan | North America
Significant Accounting Policies [Line Items]
Restructuring charges								2,700,000
Payments for restructuring								(2,700,000)
2020 Restructuring Plan | Europe
Significant Accounting Policies [Line Items]
Restructuring charges								7,800,000
Payments for restructuring								(7,500,000)
COVID-19 Pandemic
Significant Accounting Policies [Line Items]
Wage subsidies received						400,000	3,700,000	7,400,000
Accounts payable and accrued liabilities				$ 0		$ 0	$ 7,500,000
Impairment charges								115,200,000
COVID-19 Pandemic | Decantae Reporting Unit
Significant Accounting Policies [Line Items]
Goodwill impairment								300,000
COVID-19 Pandemic | Eden Reporting Unit
Significant Accounting Policies [Line Items]
Goodwill impairment								103,300,000
COVID-19 Pandemic | Eden Reporting Unit | Trademarks
Significant Accounting Policies [Line Items]
Indefinite-lived intangible asset impairment								9,900,000
COVID-19 Pandemic | Farrers Reporting Unit
Significant Accounting Policies [Line Items]
Goodwill impairment								500,000
COVID-19 Pandemic | Aquaterra Reporting Unit | Trademarks
Significant Accounting Policies [Line Items]
Indefinite-lived intangible asset impairment								$ 1,200,000
Discontinued Operations, Disposed of by Sale | S&D Disposition
Significant Accounting Policies [Line Items]
Purchase price received, cash		$ 405,000,000
Payments, post-closing working capital adjustments			$ 1,500,000
Disposal Group, Held-for-sale, Not Discontinued Operations | Exiting Of Operations In Russia | Europe | Eden Europe Reporting Unit | Trademarks | RUSSIAN FEDERATION
Significant Accounting Policies [Line Items]
Indefinite-lived intangible asset impairment					$ 6,700,000
Disposal Group, Held-for-sale, Not Discontinued Operations | Exiting Of Operations In Russia | Europe | Eden Reporting Unit | RUSSIAN FEDERATION
Significant Accounting Policies [Line Items]
Goodwill impairment					$ 11,200,000