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Debt and Financing Arrangements - Additional Information (Detail) € in Millions, $ in Millions	3 Months Ended				9 Months Ended
	Jun. 30, 2018 USD ($)	Mar. 31, 2018 USD ($)	Dec. 31, 2017 USD ($)	Dec. 31, 2017 EUR (€)	Jun. 30, 2017 USD ($)	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	$ 400	$ 26	$ 1,900
Long-term Debt							$ 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

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