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Segments - Products and Services (Detail) - USD ($) $ in Millions	3 Months Ended								12 Months Ended
	Jan. 02, 2021	Sep. 26, 2020	Jun. 27, 2020	Mar. 28, 2020	Dec. 28, 2019	Sep. 28, 2019	Jun. 29, 2019	Mar. 30, 2019	Jan. 02, 2021	Dec. 28, 2019	Dec. 29, 2018
Revenue from External Customer [Line Items]
Net sales									$ 3,942.2	$ 4,067.7	$ 4,070.4
Product And Services, Excluding Financial Services
Revenue from External Customer [Line Items]
Net sales	$ 1,074.4	$ 941.6	$ 724.3	$ 852.2	$ 955.2	$ 901.8	$ 951.3	$ 921.7	3,592.5	3,730.0	3,740.7
Product And Services, Excluding Financial Services | Tools
Revenue from External Customer [Line Items]
Net sales									1,984.7	2,017.5	2,021.2
Product And Services, Excluding Financial Services | Diagnostics, information and management systems
Revenue from External Customer [Line Items]
Net sales									783.8	827.5	797.9
Product And Services, Excluding Financial Services | Equipment
Revenue from External Customer [Line Items]
Net sales									824.0	885.0	921.6
Financial Services
Revenue from External Customer [Line Items]
Net sales									$ 349.7	$ 337.7	$ 329.7

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