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Revenue from Contracts with Customers - Disaggregation of Revenue (Details) - USD ($) $ in Millions	3 Months Ended		9 Months Ended
	Oct. 01, 2022	Oct. 02, 2021	Oct. 01, 2022	Oct. 02, 2021
Disaggregation of Revenue [Line Items]
Net sales	$ 2,373	$ 2,107	$ 6,405	$ 5,851
Direct
Disaggregation of Revenue [Line Items]
Net sales	1,671	1,541	4,530	4,247
Indirect
Disaggregation of Revenue [Line Items]
Net sales	702	566	1,875	1,604
LMR Communications
Disaggregation of Revenue [Line Items]
Net sales	1,812	1,658	4,874	4,590
Video Security and Access Control
Disaggregation of Revenue [Line Items]
Net sales	419	316	1,096	874
Command Center Software
Disaggregation of Revenue [Line Items]
Net sales	142	133	435	387
North America
Disaggregation of Revenue [Line Items]
Net sales	1,687	1,449	4,475	3,946
International
Disaggregation of Revenue [Line Items]
Net sales	686	658	1,930	1,905
Products and Systems Integration
Disaggregation of Revenue [Line Items]
Net sales	1,529	1,325	3,918	3,538
Products and Systems Integration | Direct
Disaggregation of Revenue [Line Items]
Net sales	902	838	2,271	2,148
Products and Systems Integration | Indirect
Disaggregation of Revenue [Line Items]
Net sales	627	487	1,647	1,390
Products and Systems Integration | LMR Communications
Disaggregation of Revenue [Line Items]
Net sales	1,243	1,111	3,190	2,948
Products and Systems Integration | Video Security and Access Control
Disaggregation of Revenue [Line Items]
Net sales	286	214	728	590
Products and Systems Integration | Command Center Software
Disaggregation of Revenue [Line Items]
Net sales	0	0	0	0
Products and Systems Integration | North America
Disaggregation of Revenue [Line Items]
Net sales	1,166	992	2,961	2,603
Products and Systems Integration | International
Disaggregation of Revenue [Line Items]
Net sales	363	333	957	935
Software and Services
Disaggregation of Revenue [Line Items]
Net sales	844	782	2,487	2,313
Software and Services | Direct
Disaggregation of Revenue [Line Items]
Net sales	769	703	2,259	2,099
Software and Services | Indirect
Disaggregation of Revenue [Line Items]
Net sales	75	79	228	214
Software and Services | LMR Communications
Disaggregation of Revenue [Line Items]
Net sales	569	547	1,684	1,642
Software and Services | Video Security and Access Control
Disaggregation of Revenue [Line Items]
Net sales	133	102	368	284
Software and Services | Command Center Software
Disaggregation of Revenue [Line Items]
Net sales	142	133	435	387
Software and Services | North America
Disaggregation of Revenue [Line Items]
Net sales	521	457	1,514	1,343
Software and Services | International
Disaggregation of Revenue [Line Items]
Net sales	$ 323	$ 325	$ 973	$ 970

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Amount, excluding tax collected from customer, of revenue from satisfaction of performance obligation by transferring promised good or service to customer. Tax collected from customer is tax assessed by governmental authority that is both imposed on and concurrent with specific revenue-producing transaction, including, but not limited to, sales, use, value added and excise.

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