Income Taxes (Narrative) (Details) kr in Billions		12 Months Ended
	Feb. 02, 2022 USD ($)	Jan. 02, 2022 USD ($)	Jan. 03, 2021 USD ($)	Dec. 29, 2019 USD ($)	Dec. 30, 2018 SEK (kr)	Dec. 30, 2018 USD ($)
Income Tax Contingency [Line Items]
Income from domestic operations included in income from continuing operations before income taxes		$ 108,000,000	$ 289,500,000	$ 295,900,000
Income from foreign operations included in income before taxes		425,900,000	180,200,000	177,800,000
Unremitted earnings of foreign subsidiaries		619,800,000
Estimated deferred tax liability, undistributed foreign earnings		1,300,000
Increase (decrease) in valuation allowance		200,000
Expected decrease in unrecognized tax benefits over next 12 months		19,100,000
Interest and penalties related to unrecognized tax benefits		2,400,000	100,000	300,000
Interest and penalties accrued for unrecognized tax benefits		160,800,000	1,200,000	$ 1,100,000
Unrecognized tax benefits including accrued interest and penalties		341,000,000	$ 0
FLIR
Income Tax Contingency [Line Items]
Interest and penalties accrued for unrecognized tax benefits		157,000,000
Swedish Tax Authority | FLIR
Income Tax Contingency [Line Items]
Estimated Tax Liability					kr 3.1	$ 364,700,000
Swedish Tax Authority | FLIR | Subsequent Event
Income Tax Contingency [Line Items]
Estimated Tax Liability	$ 296,400,000
Foreign
Income Tax Contingency [Line Items]
Net operating loss carryforward		45,300,000
Net operating loss carryforward with no expiration		28,800,000
Net operating loss carryforward with expiration		16,500,000
Foreign | Canadian
Income Tax Contingency [Line Items]
Capital loss carryforward		4,200,000
Tax credit carryforward		16,900,000
Foreign | Spanish
Income Tax Contingency [Line Items]
Tax credit carryforward		400,000
Federal
Income Tax Contingency [Line Items]
Net operating loss carryforward		28,000,000
Net operating loss carryforward with no expiration		20,600,000
Net operating loss carryforward with expiration		7,400,000
Research and development credit carryforward		300,000
State
Income Tax Contingency [Line Items]
Net operating loss carryforward		117,100,000
Research and development credit carryforward		17,900,000
State | No expiration
Income Tax Contingency [Line Items]
Research and development credit carryforward		14,100,000
State | With expiration
Income Tax Contingency [Line Items]
Research and development credit carryforward		$ 3,800,000