Business Combinations - Summary of Preliminary Fair Value of Consideration of Assets Acquired and Liabilities Assumed (Detail) - USD ($) $ in Millions		12 Months Ended
	Jan. 03, 2022	Dec. 31, 2021
Premier Fire [Member]
Business Acquisition [Line Items]
Cash paid at closing		$ 32
Estimated net working capital adjustment		(7)
Total consideration		39
Cash		3
Current assets		10
Property and equipment		1
Intangible assets other then goodwill		14
Goodwill		17
Net assets acquired		39
Current liabilities		(6)
Northern Air Corporation [Member]
Business Acquisition [Line Items]
Cash paid at closing		36
Estimated net working capital adjustment		(4)
Total consideration		40
Cash		2
Current assets		22
Property and equipment		2
Intangible assets other then goodwill		14
Goodwill		12
Net assets acquired		40
Current liabilities		(12)
Other 2021 Acquisitions [Member]
Business Acquisition [Line Items]
Cash paid at closing		25
Estimated net working capital adjustment		(7)
Total consideration		32
Cash		2
Current assets		6
Property and equipment		2
Intangible assets other then goodwill		7
Goodwill		18
Net assets acquired		32
Current liabilities		$ (3)
Chubb Limited (“Chubb”) Fire and Security Business [Member]
Business Acquisition [Line Items]
Cash paid at closing	$ 2,935
Other estimated adjustments	(36)
Total consideration	2,899
Cash	60
Accounts receivable	444
Inventories	67
Contract assets	183
Other current assets	20
Property and equipment	63
Operating lease right of use assets	155
Pension and post-retirement assets	626
Other noncurrent assets	15
Intangible assets other then goodwill	1,385
Goodwill	1,225
Accounts payable	(191)
Contract liabilities	(162)
Accrued expenses	(228)
Finance and operating lease liabilities	(157)
Pension and post-retirement obligations	(75)
Deferred tax liabilities	(465)
Other noncurrent liabilities	(66)
Net assets acquired	$ 2,899