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Goodwill and Intangible Assets - Additional Information (Details) | 3 Months Ended | 12 Months Ended
--- | --- | ---
Sep. 30, 2022 USD ($) | Mar. 31, 2020 USD ($) | Sep. 30, 2022 USD ($) | Sep. 30, 2021 USD ($) | Sep. 30, 2020 USD ($)
Goodwill [Line Items] |  |  |  |  |
Goodwill impairment loss |  | $ 41,300,000 | $ 0 |  |
Impairment of long-lived assets |  | $ 1,100,000 | 0 |  |
Impairment, Long-Lived Asset, Held-for-Use, Statement of Income or Comprehensive Income [Extensible Enumeration] |  | Impairment of goodwill, intangible and other assets |  |  |
Definite-lived intangible assets, amortization expense |  |  | $ 11,700,000 | $ 11,300,000 | $ 11,200,000
Computer Software, Intangible Asset |  |  |  |  |
Goodwill [Line Items] |  |  |  |  |
Impairment of intangible assets | $ 2,400,000 |  |  |  |
Mexico Reporting Unit | Trade names |  |  |  |  |
Goodwill [Line Items] |  |  |  |  |
Impairment of intangible assets |  | $ 2,900,000 |  |  |
Impairment, Intangible Asset, Finite-Lived, Statement of Income or Comprehensive Income [Extensible Enumeration] |  | Impairment of goodwill, intangible and other assets |  |  |
G P M X Reporting Unit | Trade names |  |  |  |  |
Goodwill [Line Items] |  |  |  |  |
Impairment of intangible assets |  | $ 1,700,000 |  |  |
Impairment, Intangible Asset, Finite-Lived, Statement of Income or Comprehensive Income [Extensible Enumeration] |  | Impairment of goodwill, intangible and other assets |  |  |
Minimum | Goodwill and Indefinite-lived Intangible Assets | Measurement Input, Discount Rate | Income Approach Valuation Technique |  |  |  |  |
Goodwill [Line Items] |  |  |  |  |
Discount rates used for reporting unit valuations |  | 0.11 |  |  |
Maximum | Goodwill and Indefinite-lived Intangible Assets | Measurement Input, Discount Rate | Income Approach Valuation Technique |  |  |  |  |
Goodwill [Line Items] |  |  |  |  |
Discount rates used for reporting unit valuations |  | 0.19 |  |  |

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- Definition The aggregate expense charged against earnings to allocate the cost of intangible assets (nonphysical assets not used in production) in a systematic and rational manner to the periods expected to benefit from such assets. As a noncash expense, this element is added back to net income when calculating cash provided by or used in operations using the indirect method. + References Reference 1: 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 https://asc.fasb.org/extlink&oid=126954810&loc=d3e3602-108585 Reference 2: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 350 -SubTopic 30 -Section 50 -Paragraph 2 -Subparagraph (a)(2) -URI https://asc.fasb.org/extlink&oid=66006027&loc=d3e16323-109275 Reference 3: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 350 -SubTopic 30 -Section 45 -Paragraph 2 -URI https://asc.fasb.org/extlink&oid=6388964&loc=d3e16225-109274 + Details
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