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Debt and Financing Arrangements - Additional Information (Detail)
€ in Millions, $ in Millions
3 Months Ended
Dec. 31, 2017
USD ($)
Dec. 31, 2016
USD ($)
Dec. 31, 2017
EUR (€)
Dec. 31, 2017
USD ($)
Sep. 30, 2016
USD ($)
Debt Instrument [Line Items]          
Transactions costs related to debt exchange offers   $ 17      
150 million euro floating rate term loan maturing in September 2018 [Member]          
Debt Instrument [Line Items]          
Debt Instrument, Term 364 days        
Debt Instrument, Face Amount | €     € 150    
Zero Point Zero Percent Due Two Thousand Twenty-One [Member]          
Debt Instrument [Line Items]          
Debt Instrument, Face Amount | €     € 750    
Interest Rate Terms 0.0        
One Point Four Percent Due Two Thousand Eighteen          
Debt Instrument [Line Items]          
Repayments of Debt $ 300        
Interest Rate Terms 0.014        
Tyco International Holding S.a.r.L. (TSarL) [Member]          
Debt Instrument [Line Items]          
Repayments of Debt $ 1,900        
Long-term Debt       $ 1,800 $ 4,000