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Goodwill and Other Intangible Assets - Other Intangible Assets by Major class (Detail) - USD ($) $ in Millions	Dec. 31, 2022	Jan. 01, 2022
Finite-Lived Intangible Assets [Line Items]
Gross carrying value, finite-lived intangible assets	$ 487.5	$ 495.0
Non-amortized trademarks	134.1	142.6
Total gross carrying value, other intangible assets	621.6	637.6
Accumulated Amortization	(346.0)	(335.9)
Net carrying value, finite-lived intangible assets	141.5	159.1
Non-amortized trademarks, net	134.1	142.6
Total net carrying value, other intangible assets	275.6	301.7
Customer relationships
Finite-Lived Intangible Assets [Line Items]
Gross carrying value, finite-lived intangible assets	212.1	217.8
Accumulated Amortization	(150.8)	(142.1)
Net carrying value, finite-lived intangible assets	61.3	75.7
Developed technology
Finite-Lived Intangible Assets [Line Items]
Gross carrying value, finite-lived intangible assets	35.8	36.6
Accumulated Amortization	(26.0)	(23.2)
Net carrying value, finite-lived intangible assets	9.8	13.4
Internally developed software
Finite-Lived Intangible Assets [Line Items]
Gross carrying value, finite-lived intangible assets	179.6	182.7
Accumulated Amortization	(137.2)	(139.1)
Net carrying value, finite-lived intangible assets	42.4	43.6
Patents
Finite-Lived Intangible Assets [Line Items]
Gross carrying value, finite-lived intangible assets	48.4	45.7
Accumulated Amortization	(25.6)	(25.1)
Net carrying value, finite-lived intangible assets	22.8	20.6
Trademarks
Finite-Lived Intangible Assets [Line Items]
Gross carrying value, finite-lived intangible assets	3.9	3.9
Accumulated Amortization	(2.4)	(2.3)
Net carrying value, finite-lived intangible assets	1.5	1.6
Other
Finite-Lived Intangible Assets [Line Items]
Gross carrying value, finite-lived intangible assets	7.7	8.3
Accumulated Amortization	(4.0)	(4.1)
Net carrying value, finite-lived intangible assets	$ 3.7	$ 4.2

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