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Revenue from Contracts with Customers - Disaggregation of Revenue (Details) - USD ($)
$ in Millions
3 Months Ended
Apr. 02, 2022
Apr. 03, 2021
Disaggregation of Revenue [Line Items]    
Net sales $ 1,892 $ 1,773
Direct    
Disaggregation of Revenue [Line Items]    
Net sales 1,358 1,294
Indirect    
Disaggregation of Revenue [Line Items]    
Net sales 534 479
LMR Communications    
Disaggregation of Revenue [Line Items]    
Net sales 1,455 1,401
Video Security and Access Control    
Disaggregation of Revenue [Line Items]    
Net sales 307 253
Command Center Software    
Disaggregation of Revenue [Line Items]    
Net sales 130 119
North America    
Disaggregation of Revenue [Line Items]    
Net sales 1,305 1,185
International    
Disaggregation of Revenue [Line Items]    
Net sales 587 588
Products and Systems Integration    
Disaggregation of Revenue [Line Items]    
Net sales 1,103 1,015
Products and Systems Integration | Direct    
Disaggregation of Revenue [Line Items]    
Net sales 656 604
Products and Systems Integration | Indirect    
Disaggregation of Revenue [Line Items]    
Net sales 447 411
Products and Systems Integration | LMR Communications    
Disaggregation of Revenue [Line Items]    
Net sales 909 850
Products and Systems Integration | Video Security and Access Control    
Disaggregation of Revenue [Line Items]    
Net sales 194 165
Products and Systems Integration | Command Center Software    
Disaggregation of Revenue [Line Items]    
Net sales 0 0
Products and Systems Integration | North America    
Disaggregation of Revenue [Line Items]    
Net sales 831 742
Products and Systems Integration | International    
Disaggregation of Revenue [Line Items]    
Net sales 272 273
Software and Services    
Disaggregation of Revenue [Line Items]    
Net sales 789 758
Software and Services | Direct    
Disaggregation of Revenue [Line Items]    
Net sales 702 690
Software and Services | Indirect    
Disaggregation of Revenue [Line Items]    
Net sales 87 68
Software and Services | LMR Communications    
Disaggregation of Revenue [Line Items]    
Net sales 546 551
Software and Services | Video Security and Access Control    
Disaggregation of Revenue [Line Items]    
Net sales 113 88
Software and Services | Command Center Software    
Disaggregation of Revenue [Line Items]    
Net sales 130 119
Software and Services | North America    
Disaggregation of Revenue [Line Items]    
Net sales 474 443
Software and Services | International    
Disaggregation of Revenue [Line Items]    
Net sales $ 315 $ 315