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Goodwill and Intangibles, net - Summary of Changes in Carrying Amounts of Goodwill and Intangible Assets (Detail) - USD ($) $ in Millions | 3 Months Ended | 6 Months Ended |
--- | --- | --- | ---
Mar. 31, 2018 | Mar. 31, 2017 | Mar. 31, 2018 | Mar. 31, 2017 | Sep. 30, 2017
Goodwill And Intangible Assets [Line Items] |  |  |  |  |
Cost | $ 875.3 |  | $ 875.3 |  | $ 884.8
Intangible Assets, Including Goodwill [Roll Forward] |  |  |  |  |
Beginning Balance, Goodwill |  |  | 2,277.1 |  |
Beginning Balance, Indefinite Lived Intangible Assets |  |  | 1,024.3 |  |
Beginning Balance, Finite Lived Intangible Assets |  |  | 587.7 |  |
Beginning Balance, Intangible Assets, Excluding Goodwill |  |  | 1,612.0 |  |
Less: Components of amortization: |  |  |  |  |
Effect of translation, Goodwill |  |  | 3.1 |  |
Effect of translation, Finite Lived intangible assets |  |  | 6.9 |  |
Ending Balance, Goodwill | 2,280.2 |  | 2,280.2 |  |
Ending Balance, Indefinite Lived Intangible Assets | 1,029.0 |  | 1,029.0 |  |
Ending Balance, Finite Lived Intangible Assets | 560.5 |  | 560.5 |  |
Ending Balance, Intangible Assets, Excluding Goodwill | 1,589.5 |  | 1,589.5 |  |
Finite-Lived Intangible Assets, Accumulated Amortization | 314.8 |  | 314.8 |  | 297.1
Periodic amortization |  |  |  |  |
Less: Components of amortization: |  |  |  |  |
Amortization of Intangible Assets |  |  | (29.4) |  |
Customer Relationships [Member] |  |  |  |  |
Goodwill And Intangible Assets [Line Items] |  |  |  |  |
Cost | 675.1 |  | 675.1 |  | 671.7
Intangible Assets, Including Goodwill [Roll Forward] |  |  |  |  |
Beginning Balance, Finite Lived Intangible Assets |  |  | 449.4 |  |
Less: Components of amortization: |  |  |  |  |
Ending Balance, Finite Lived Intangible Assets | 432.0 |  | 432.0 |  |
Finite-Lived Intangible Assets, Accumulated Amortization | 243.1 |  | 243.1 |  | 222.3
Definite Lived Intangible Assets |  |  |  |  |
Intangible Assets, Including Goodwill [Roll Forward] |  |  |  |  |
Beginning Balance, Finite Lived Intangible Assets |  |  | 587.7 |  |
Less: Components of amortization: |  |  |  |  |
Amortization of Intangible Assets | (14.4) | $ (15.1) | (29.4) | $ (30.5) |
Effect of translation, Finite Lived intangible assets |  |  | 2.2 |  |
Ending Balance, Finite Lived Intangible Assets | 560.5 |  | 560.5 |  |
Definite Lived Intangible Assets | Periodic amortization |  |  |  |  |
Less: Components of amortization: |  |  |  |  |
Amortization of Intangible Assets |  |  | (29.4) |  |
Trade Names [Member] |  |  |  |  |
Goodwill And Intangible Assets [Line Items] |  |  |  |  |
Cost | 5.5 |  | 5.5 |  | 18.5
Intangible Assets, Including Goodwill [Roll Forward] |  |  |  |  |
Beginning Balance, Finite Lived Intangible Assets |  |  | 3.4 |  |
Less: Components of amortization: |  |  |  |  |
Ending Balance, Finite Lived Intangible Assets | 2.5 |  | 2.5 |  |
Finite-Lived Intangible Assets, Accumulated Amortization | $ 3.0 |  | 3.0 |  | $ 15.1
Indefinite Lived Intangible Assets Excluding Goodwill [Member] |  |  |  |  |
Less: Components of amortization: |  |  |  |  |
Effect of translation, Indefinite Lived intangible assets |  |  | $ 4.7 |  |

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