Goodwill and Other Intangible Assets - Summary of Gross Carrying Amounts and Accumulated Amortization of Intangible Assets by Major Class (Details) - USD ($) $ in Thousands |
3 Months Ended | 12 Months Ended |
|---|---|---|
Dec. 31, 2022 |
Sep. 30, 2022 |
|
| Finite Lived Intangible Assets [Line Items] | ||
| Gross Carrying Amount | $ 196,944 | $ 193,098 |
| Accumulated Amortization | (189,231) | (183,398) |
| Net Carrying Amount | 7,713 | 9,700 |
| Customer Relationships | ||
| Finite Lived Intangible Assets [Line Items] | ||
| Gross Carrying Amount | 107,373 | 104,498 |
| Accumulated Amortization | (100,073) | (95,315) |
| Net Carrying Amount | $ 7,300 | $ 9,183 |
| Weighted Average Remaining Life (Years) | 1 year 8 months 12 days | 1 year 8 months 12 days |
| Technology and Patents | ||
| Finite Lived Intangible Assets [Line Items] | ||
| Gross Carrying Amount | $ 89,571 | $ 88,600 |
| Accumulated Amortization | (89,158) | (88,083) |
| Net Carrying Amount | $ 413 | $ 517 |
| Weighted Average Remaining Life (Years) | 1 year | 1 year 2 months 12 days |