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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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