Segment Reporting - Schedule of Segment Reporting Information by Operating Segment (Details) - USD ($) $ in Millions	3 Months Ended								12 Months Ended
	Dec. 30, 2023	Sep. 30, 2023	Jul. 01, 2023	Apr. 01, 2023	Dec. 31, 2022	Oct. 01, 2022	Jul. 02, 2022	Apr. 02, 2022	Dec. 30, 2023	Dec. 31, 2022	Jan. 01, 2022
Segment Reporting Information [Line Items]
Revenue, net	$ 438.7	$ 470.0	$ 450.6	$ 412.5	$ 405.1	$ 447.9	$ 440.3	$ 399.9	$ 1,771.8	$ 1,693.2	$ 1,576.4
Depreciation and amortization									193.3	182.0	160.2
Operating income (loss)	40.8	$ 59.8	$ 41.4	$ 21.4	60.3	$ 40.3	$ 24.9	$ 18.0	163.4	143.5	103.0
Property, plant and equipment, net	556.5				549.5				556.5	549.5
Goodwill	1,004.6				997.2				1,004.6	997.2	994.1
Intangible assets, net	714.2				723.8				714.2	723.8
Total segment assets	3,523.0				3,667.0				3,523.0	3,667.0
Additions to property, plant and equipment									139.2	162.1	115.2
Continued Operations
Segment Reporting Information [Line Items]
Total segment assets	3,168.7				2,790.3				3,168.7	2,790.3
Operating Segments | North America
Segment Reporting Information [Line Items]
Revenue, net									1,771.2	1,685.6	1,562.9
Depreciation and amortization									191.9	179.6	156.9
Operating income (loss)									222.2	203.7	146.0
Property, plant and equipment, net	551.6				547.8				551.6	547.8
Goodwill	1,002.4				997.2				1,002.4	997.2	994.1
Intangible assets, net	711.3				720.0				711.3	720.0
Additions to property, plant and equipment									137.0	160.0	113.5
Operating Segments | North America | Continued Operations
Segment Reporting Information [Line Items]
Total segment assets	2,704.1				2,746.1				2,704.1	2,746.1
Other
Segment Reporting Information [Line Items]
Revenue, net									0.6	7.6	13.5
Depreciation and amortization									1.4	2.4	3.3
Operating income (loss)									(58.8)	(60.2)	(43.0)
Property, plant and equipment, net	4.9				1.7				4.9	1.7
Goodwill	2.2				0.0				2.2	0.0	0.0
Intangible assets, net	2.9				3.8				2.9	3.8
Additions to property, plant and equipment									2.2	2.1	$ 1.7
Other | Continued Operations
Segment Reporting Information [Line Items]
Total segment assets	$ 464.6				$ 44.2				$ 464.6	$ 44.2