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SEGMENT INFORMATION - Reconciliation of Adjusted EBITDA to Net Income (Details) - USD ($) $ in Thousands | 3 Months Ended | 12 Months Ended
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Sep. 30, 2022 | Mar. 31, 2020 | Sep. 30, 2022 | Sep. 30, 2021 | Sep. 30, 2020
Reconciliation Of Adjusted EBITDA To Net Income [Abstract] |  |  |  |  |
Adjusted EBITDA |  |  | $ 210,408 | $ 227,750 | $ 203,080
Non-Operating Income and Expenses [Abstract] |  |  |  |  |
RPA financing fees |  |  | (1,046) | 0 | 0
Strategic initiatives and other charges |  |  | (37,431) | (29,539) | (40,686)
Legal matter reserve |  |  | 0 | 0 | (10,566)
Non-recurring / incremental COVID-19 costs |  |  | (2,985) | (5,312) | (3,908)
Defined benefit plan termination related items |  |  | 429 | 0 | 0
Asset write-downs, net |  |  | (10,050) | 0 | 0
Goodwill write-downs |  | $ (90,408) | (82,454) | 0 | (90,408)
Gain (loss) on sale of ownership interests in a subsidiaries |  |  | 0 | 0 | 11,208
Joint Venture depreciation, amortization, interest expense and other charges |  |  | 0 | 0 | (4,732)
Stock-based compensation |  |  | (17,432) | (15,581) | (8,096)
Non-service pension and postretirement expense |  |  | (31,823) | (5,837) | (7,789)
Depreciation and amortization |  |  | (104,056) | (133,512) | (119,058)
Interest expense |  |  | (27,725) | (28,684) | (34,885)
Net loss attributable to noncontrolling interests |  |  | (54) | (52) | (497)
(Loss) income before income taxes |  |  | (104,219) | 9,233 | (106,337)
Income tax benefit (provision) |  |  | 4,391 | (6,375) | 18,685
Net (loss) income |  |  | (99,828) | 2,858 | (87,652)
Memorialization |  |  |  |  |
Non-Operating Income and Expenses [Abstract] |  |  |  |  |
Goodwill write-downs |  |  | 0 |  |
SGK Brand Solutions |  |  |  |  |
Non-Operating Income and Expenses [Abstract] |  |  |  |  |
Goodwill write-downs | $ (82,454) |  | (82,454) |  |
Operating Segments | Memorialization |  |  |  |  |
Reconciliation Of Adjusted EBITDA To Net Income [Abstract] |  |  |  |  |
Adjusted EBITDA |  |  | 151,849 | 165,653 | 146,285
Non-Operating Income and Expenses [Abstract] |  |  |  |  |
Non-recurring / incremental COVID-19 costs |  |  | (1,314) | (3,646) | (1,819)
Depreciation and amortization |  |  | (23,228) | (23,043) | (20,527)
Acquisition costs, ERP integration costs, and strategic initiatives and other charges |  |  | 3,517 | 1,923 | 2,696
Operating Segments | Industrial Technologies |  |  |  |  |
Reconciliation Of Adjusted EBITDA To Net Income [Abstract] |  |  |  |  |
Adjusted EBITDA |  |  | 56,762 | 34,889 | 23,055
Non-Operating Income and Expenses [Abstract] |  |  |  |  |
Non-recurring / incremental COVID-19 costs |  |  | (6) | (38) | (32)
Depreciation and amortization |  |  | (11,387) | (11,427) | (11,923)
Acquisition costs, ERP integration costs, and strategic initiatives and other charges |  |  | 5,631 | 4,026 | 2,517
Operating Segments | SGK Brand Solutions |  |  |  |  |
Reconciliation Of Adjusted EBITDA To Net Income [Abstract] |  |  |  |  |
Adjusted EBITDA |  |  | 60,120 | 91,435 | 90,342
Non-Operating Income and Expenses [Abstract] |  |  |  |  |
Non-recurring / incremental COVID-19 costs |  |  | (1,199) | (1,539) | (1,442)
Depreciation and amortization |  |  | (64,173) | (93,665) | (81,445)
Acquisition costs, ERP integration costs, and strategic initiatives and other charges |  |  | 19,359 | 12,323 | 12,488
Corporate, Non-Segment |  |  |  |  |
Reconciliation Of Adjusted EBITDA To Net Income [Abstract] |  |  |  |  |
Adjusted EBITDA |  |  | (58,323) | (64,227) | (56,602)
Non-Operating Income and Expenses [Abstract] |  |  |  |  |
Non-recurring / incremental COVID-19 costs |  |  | (466) | (89) | (615)
Depreciation and amortization |  |  | (5,268) | (5,377) | (5,163)
Acquisition costs, ERP integration costs, and strategic initiatives and other charges |  |  | $ 8,924 | $ 11,267 | $ 22,985

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