BUSINESS SEGMENTS AND GEOGRAPHIC AREAS - Summary of Total Assets by Segment (Detail) - USD ($) $ in Millions	Oct. 02, 2021	Jan. 02, 2021
Segment Reporting Information [Line Items]
Assets	$ 24,326.6	$ 23,566.3
Operating Segments
Segment Reporting Information [Line Items]
Assets	24,925.3	23,409.8
Corporate
Segment Reporting Information [Line Items]
Assets	(598.7)	156.5
Tools & Storage | Operating Segments
Segment Reporting Information [Line Items]
Assets	15,676.0	14,294.9
Industrial | Operating Segments
Segment Reporting Information [Line Items]
Assets	5,678.3	5,621.4
Security | Operating Segments
Segment Reporting Information [Line Items]
Assets	$ 3,571.0	$ 3,493.5