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Nature of Business and Summary of Significant Accounting Policies - Additional Information (Detail) - USD ($) $ in Millions | 12 Months Ended
--- | ---
Sep. 30, 2018 | Sep. 30, 2017 | Sep. 30, 2016
Property, Plant and Equipment [Line Items] |  |  |
Depreciation and amortization, property and equipment | $ 22.6 | $ 23.0 | $ 17.7
Foreign exchange gains (losses) | 0.4 | (1.1) | 0.2
Advertising and promotion costs | $ 4.1 | $ 3.1 | $ 3.6
Minimum |  |  |
Property, Plant and Equipment [Line Items] |  |  |
Stock option awards vesting period | 3 years |  |
Maximum |  |  |
Property, Plant and Equipment [Line Items] |  |  |
Stock option awards vesting period | 4 years |  |
Internal-use Software | Minimum |  |  |
Property, Plant and Equipment [Line Items] |  |  |
Property and equipment, estimated useful life | 2 years |  |
Internal-use Software | Maximum |  |  |
Property, Plant and Equipment [Line Items] |  |  |
Property and equipment, estimated useful life | 3 years |  |

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- Definition The current period expense charged against earnings on long-lived, physical assets not used in production, and which are not intended for resale, to allocate or recognize the cost of such assets over their useful lives; or to record the reduction in book value of an intangible asset over the benefit period of such asset; or to reflect consumption during the period of an asset that is not used in production. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 360 -SubTopic 10 -Section 50 -Paragraph 1 -Subparagraph (a) -URI http://asc.fasb.org/extlink&oid=6391035&loc=d3e2868-110229 Reference 2: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 230 -SubTopic 10 -Section 45 -Paragraph 28 -Subparagraph (b) -URI http://asc.fasb.org/extlink&oid=109223946&loc=d3e3602-108585 + Details
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