| Goodwill and Other Intangible Assets - Goodwill Attributable to Each Segment (Details) $ in Thousands | 6 Months Ended | 
|---|---|
| Mar. 31, 2022  USD ($) | |
| Goodwill [Roll Forward] | |
| Balance at beginning of period | $ 773,787 | 
| Translation and other adjustments | (4,676) | 
| Balance at end of period | 769,111 | 
| SGK Brand Solutions | |
| Goodwill [Roll Forward] | |
| Balance at beginning of period | 314,850 | 
| Translation and other adjustments | (3,524) | 
| Balance at end of period | 311,326 | 
| Memorialization | |
| Goodwill [Roll Forward] | |
| Balance at beginning of period | 366,360 | 
| Translation and other adjustments | (1,010) | 
| Balance at end of period | 365,350 | 
| Industrial Technologies | |
| Goodwill [Roll Forward] | |
| Balance at beginning of period | 92,577 | 
| Translation and other adjustments | (142) | 
| Balance at end of period | $ 92,435 | 
| X | ||||||||||
| 
- 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/disclosureRef 
 | 
| X | ||||||||||
| 
- 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. 
 | 
| X | ||||||||||
| 
- 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://fasb.org/us-gaap/role/ref/legacyRef 
 | 
| X | ||||||||||
| 
- Details 
 | 
| X | ||||||||||
| 
- Details 
 | 
| X | ||||||||||
| 
- Details 
 |