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Debt and Financing Arrangements - Additional Information (Detail)
€ in Millions, $ in Millions
3 Months Ended 6 Months Ended
Mar. 31, 2018
USD ($)
Dec. 31, 2017
USD ($)
Dec. 31, 2017
EUR (€)
Mar. 31, 2017
USD ($)
Sep. 30, 2017
USD ($)
Sep. 30, 2016
USD ($)
Debt Instrument [Line Items]            
Transactions costs related to debt exchange offers       $ 17    
Tyco International Holding S.a.r.L. (TSarL) [Member]            
Debt Instrument [Line Items]            
Line of Credit Facility, Current Borrowing Capacity $ 1,250       $ 1,000  
Three Point Seven Five Percent Due 2018 [Member]            
Debt Instrument [Line Items]            
Repayments of Debt $ 67          
Interest Rate Terms 0.0375          
150 million euro floating rate term loan maturing in September 2018 [Member]            
Debt Instrument [Line Items]            
Repayments of Debt | €     € 150      
Debt Instrument, Term   364 days 364 days      
One Point Four Percent Due Two Thousand Eighteen            
Debt Instrument [Line Items]            
Repayments of Debt   $ 300        
Interest Rate Terms   0.014 0.014      
Unsecured Debt [Member] | Zero Point Zero Percent Due Two Thousand Twenty-One [Member]            
Debt Instrument [Line Items]            
Debt Instrument, Face Amount | €     € 750      
Interest Rate Terms   0.0 0.0      
Tyco International Holding S.a.r.L. (TSarL) [Member]            
Debt Instrument [Line Items]            
Repayments of Debt $ 26 $ 1,900        
Long-term Debt $ 1,700         $ 4,000
Revolving Credit Facility [Member] | 250 million USD maturing in Mar 2019 [Member]            
Debt Instrument [Line Items]            
Debt Instrument, Term 364 days          
Debt Instrument, Face Amount $ 250          
Revolving Credit Facility [Member] | 150 million USD maturing in Mar 2018 [Member]            
Debt Instrument [Line Items]            
Debt Instrument, Term 364 days          
Line of Credit Facility, Borrowing Capacity, Expired $ 150          
Revolving Credit Facility [Member] | 150 million USD maturing in Feb 2018 [Member]            
Debt Instrument [Line Items]            
Debt Instrument, Term 364 days          
Line of Credit Facility, Borrowing Capacity, Expired $ 150          
Revolving Credit Facility [Member] | 150 million USD maturing in Feb 2019 [Member]            
Debt Instrument [Line Items]            
Debt Instrument, Face Amount $ 150          
Revolving Credit Facility [Member] | 250 million USD maturing in Jan 2018 [Member]            
Debt Instrument [Line Items]            
Debt Instrument, Term 364 days          
Line of Credit Facility, Borrowing Capacity, Expired $ 250          
Revolving Credit Facility [Member] | 200 million USD maturing in Jan 2019 [Member]            
Debt Instrument [Line Items]            
Debt Instrument, Face Amount $ 200