Goodwill and Other Intangible Assets - Goodwill Attributable to Each Segment (Details) $ in Thousands  | 
9 Months Ended | 
|---|---|
| 
 Jun. 30, 2023  
USD ($) 
 | |
| Goodwill [Roll Forward] | |
| Balance at beginning of period | $ 675,421 | 
| Additions during period | 11,362 | 
| Translation and other adjustments | 16,133 | 
| Balance at end of period | 702,916 | 
| Memorialization | |
| Goodwill [Roll Forward] | |
| Balance at beginning of period | 361,782 | 
| Additions during period | 2,682 | 
| Translation and other adjustments | 2,739 | 
| Balance at end of period | 367,203 | 
| Industrial Technologies | |
| Goodwill [Roll Forward] | |
| Balance at beginning of period | 107,022 | 
| Additions during period | 6,756 | 
| Translation and other adjustments | 795 | 
| Balance at end of period | 114,573 | 
| SGK Brand Solutions | |
| Goodwill [Roll Forward] | |
| Balance at beginning of period | 206,617 | 
| Additions during period | 1,924 | 
| Translation and other adjustments | 12,599 | 
| Balance at end of period | $ 221,140 | 
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- Definition Amount after accumulated impairment loss of an asset representing future economic benefits arising from other assets acquired in a business combination that are not individually identified and separately recognized. Reference 1: http://www.xbrl.org/2003/role/exampleRef 
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- Definition Amount of increase in asset representing future economic benefits arising from other assets acquired in a business combination that are not individually identified and separately recognized resulting from a business combination. Reference 1: http://www.xbrl.org/2003/role/exampleRef 
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- Definition A roll forward is a reconciliation of a concept from the beginning of a period to the end of a period. No definition available. 
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- Definition Amount of increase (decrease) from foreign currency translation adjustments and purchase accounting adjustments of an asset representing future economic benefits arising from other assets acquired in a business combination that are not individually identified and separately recognized. Reference 1: http://www.xbrl.org/2009/role/commonPracticeRef 
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