Summary of Significant Accounting Policies - Additional Information (Details)		3 Months Ended								9 Months Ended	12 Months Ended
	Dec. 29, 2023 USD ($)	Dec. 30, 2023 USD ($) segment	Sep. 30, 2023 USD ($)	Jul. 01, 2023 USD ($)	Apr. 01, 2023 USD ($)	Dec. 31, 2022 USD ($)	Oct. 01, 2022 USD ($)	Jul. 02, 2022 USD ($)	Apr. 02, 2022 USD ($)	Sep. 30, 2023 segment	Dec. 30, 2023 USD ($) segment_component	Dec. 31, 2022 USD ($)	Jan. 01, 2022 USD ($)
Significant Accounting Policies [Line Items]
Number of reporting segments | segment		1								2
Selling, general and administrative expenses		$ 250,000,000.0	$ 244,800,000	$ 246,600,000	$ 234,600,000	$ 221,300,000	$ 228,000,000.0	$ 222,900,000	$ 211,600,000		$ 976,000,000.0	$ 883,800,000	$ 769,800,000
Advertising costs											15,800,000	15,600,000	14,100,000
Goodwill		1,004,600,000				997,200,000					1,004,600,000	997,200,000	994,100,000
Intangible assets subject to amortization, net of accumulated amortization		333,000,000.0				342,700,000					333,000,000.0	342,700,000
Finite-lived intangible asset impairment											0	0	0
Acquired rights		381,200,000				381,100,000					381,200,000	381,100,000
Impairments of long-lived assets											0	0	0
Loss on disposal of property, plant and equipment, net		5,300,000	$ 1,600,000	$ 900,000	$ 1,300,000	3,300,000	$ 2,500,000	200,000	$ 1,400,000		9,100,000	7,400,000	9,100,000
Insurance reserves		18,700,000				16,900,000					$ 18,700,000	16,900,000
Maximum | Time-based RSUs
Significant Accounting Policies [Line Items]
Share-based compensation award vesting period											3 years
Minimum | Time-based RSUs
Significant Accounting Policies [Line Items]
Share-based compensation award vesting period											2 years
Discontinued Operations, Disposed of by Sale | European Business
Significant Accounting Policies [Line Items]
Aggregate deal consideration	$ 575,000,000
Total cash consideration received	$ 565,900,000
Disposal Group, Disposed of by Sale, Not Discontinued Operations | Exiting Of Operations In Russia
Significant Accounting Policies [Line Items]
Impairment charge, reduce carrying value to estimated fair value								$ 11,200,000
Accounts Payable and Accrued Liabilities, and Other Long-term Liabilities
Significant Accounting Policies [Line Items]
Insurance reserves		67,000,000				58,700,000					$ 67,000,000	58,700,000
Accounts Receivable, Net and Other Long-Term Assets
Significant Accounting Policies [Line Items]
Insurance reserves, covered by insurance		8,800,000				12,300,000					8,800,000	12,300,000
Trademarks
Significant Accounting Policies [Line Items]
Acquired rights		379,700,000				379,700,000					379,700,000	379,700,000
Customer relationships
Significant Accounting Policies [Line Items]
Intangible assets subject to amortization, net of accumulated amortization		310,700,000				318,400,000					310,700,000	318,400,000
Software
Significant Accounting Policies [Line Items]
Intangible assets subject to amortization, net of accumulated amortization		13,800,000				13,000,000.0					13,800,000	13,000,000.0
Patents
Significant Accounting Policies [Line Items]
Intangible assets subject to amortization, net of accumulated amortization		5,900,000				$ 8,200,000					5,900,000	8,200,000
DSSAqua
Significant Accounting Policies [Line Items]
Goodwill		986,400,000									986,400,000
Mountain Valley
Significant Accounting Policies [Line Items]
Goodwill		$ 16,000,000									$ 16,000,000
North America
Significant Accounting Policies [Line Items]
Number of segment components | segment_component											3
Shipping and Handling
Significant Accounting Policies [Line Items]
Selling, general and administrative expenses											$ 456,500,000	$ 426,100,000	$ 366,300,000