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Goodwill and Other Intangible Assets - Summary of Gross Carrying Amounts and Accumulated Amortization of Intangible Assets by Major Class (Details) - USD ($) $ in Thousands | 9 Months Ended | 12 Months Ended
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Jun. 30, 2021 | Sep. 30, 2020
Finite Lived Intangible Assets [Line Items] |  |
Gross Carrying Amount | $ 202,545 | $ 201,170
Accumulated Amortization | (171,927) | (155,554)
Net Carrying Amount | 30,618 | 45,616
Customer Relationships |  |
Finite Lived Intangible Assets [Line Items] |  |
Gross Carrying Amount | 111,403 | 110,512
Accumulated Amortization | (86,165) | (75,915)
Net Carrying Amount | $ 25,238 | $ 34,597
Weighted Average Remaining Life (Years) | 2 years 4 months 24 days | 3 years
Technology and Patents |  |
Finite Lived Intangible Assets [Line Items] |  |
Gross Carrying Amount | $ 91,142 | $ 90,658
Accumulated Amortization | (85,762) | (79,639)
Net Carrying Amount | $ 5,380 | $ 11,019
Weighted Average Remaining Life (Years) | 1 year | 1 year 7 months 6 days

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- Definition Accumulated amount of amortization of assets, excluding financial assets and goodwill, lacking physical substance with a finite life. + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 350 -SubTopic 30 -Section 50 -Paragraph 2 -Subparagraph (a)(1) -URI http://asc.fasb.org/extlink&oid=66006027&loc=d3e16323-109275 + Details
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