BUSINESS SEGMENTS AND GEOGRAPHIC AREAS - Disaggregation of Revenue (Details) - USD ($)	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
Disaggregation of Revenue [Line Items]
Deferred revenue recognized									$ 96,800,000		$ 96,400,000
Net Sales	$ 4,407,600,000	$ 3,850,200,000	$ 3,147,400,000	$ 3,129,400,000	$ 3,714,200,000	$ 3,633,100,000	$ 3,761,300,000	$ 3,333,600,000	14,534,600,000	[1]	14,442,200,000	[1]	$ 13,982,400,000	[1]
Industrial | Continuing Operations
Disaggregation of Revenue [Line Items]
Deferred revenue recognized									0.092		0.109		0.119
Net Sales									2,352,700,000		2,434,700,000		2,187,800,000
Industrial | Continuing Operations | Engineered Fastening
Disaggregation of Revenue [Line Items]
Net Sales									1,717,800,000		1,738,500,000		1,766,600,000
Industrial | Continuing Operations | Infrastructure business
Disaggregation of Revenue [Line Items]
Net Sales									634,900,000		696,200,000		421,200,000
Security | Continuing Operations
Disaggregation of Revenue [Line Items]
Deferred revenue recognized									0.444		0.458		0.449
Net Sales									$ 1,852,200,000		$ 1,945,400,000		$ 1,980,600,000

[1] See Note A, Significant Accounting Policies - Restatement, for discussion regarding the impacts of the Restatement.