BUSINESS SEGMENTS AND GEOGRAPHIC AREAS - Disaggregation of Revenue (Details) - USD ($) $ in Millions	3 Months Ended								12 Months Ended
	Dec. 31, 2022	Oct. 01, 2022	Jul. 02, 2022	Apr. 02, 2022	Jan. 01, 2022	Oct. 02, 2021	Jul. 03, 2021	Apr. 03, 2021	Dec. 31, 2022	Jan. 01, 2022	Jan. 02, 2021
Disaggregation of Revenue [Line Items]
Net Sales	$ 3,986.8	$ 4,119.6	$ 4,393.0	$ 4,448.0	$ 3,981.9	$ 3,779.7	$ 3,798.9	$ 3,720.8	$ 16,947.4	$ 15,281.3	$ 12,750.0
Industrial | Operating Segments
Disaggregation of Revenue [Line Items]
Net Sales									2,523.4	2,463.1	2,352.7
Industrial | Engineered Fastening | Operating Segments
Disaggregation of Revenue [Line Items]
Net Sales									1,874.8	1,842.1	1,717.8
Industrial | Infrastructure | Operating Segments
Disaggregation of Revenue [Line Items]
Net Sales									$ 648.6	$ 621.0	$ 634.9