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REVENUE RECOGNITION - Disaggregation of Revenue (Details) - USD ($) $ in Thousands | 12 Months Ended
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Sep. 30, 2022 | Sep. 30, 2021 | Sep. 30, 2020
Disaggregation of Revenue [Line Items] |  |  |
Sales | $ 1,762,403 | $ 1,671,030 | $ 1,498,306
North America |  |  |
Disaggregation of Revenue [Line Items] |  |  |
Sales | 1,230,267 | 1,141,396 | 1,037,705
Central and South America |  |  |
Disaggregation of Revenue [Line Items] |  |  |
Sales | 4,729 | 5,036 | 6,304
Europe |  |  |
Disaggregation of Revenue [Line Items] |  |  |
Sales | 444,606 | 446,274 | 387,831
Australia |  |  |
Disaggregation of Revenue [Line Items] |  |  |
Sales | 21,206 | 23,568 | 21,079
Asia |  |  |
Disaggregation of Revenue [Line Items] |  |  |
Sales | 61,595 | 54,756 | 45,387
Memorialization |  |  |
Disaggregation of Revenue [Line Items] |  |  |
Sales | 840,124 | 769,016 | 656,035
Memorialization | North America |  |  |
Disaggregation of Revenue [Line Items] |  |  |
Sales | 788,791 | 710,926 | 611,496
Memorialization | Central and South America |  |  |
Disaggregation of Revenue [Line Items] |  |  |
Sales | 0 | 0 | 0
Memorialization | Europe |  |  |
Disaggregation of Revenue [Line Items] |  |  |
Sales | 41,184 | 47,858 | 35,557
Memorialization | Australia |  |  |
Disaggregation of Revenue [Line Items] |  |  |
Sales | 10,149 | 10,232 | 8,982
Memorialization | Asia |  |  |
Disaggregation of Revenue [Line Items] |  |  |
Sales | 0 | 0 | 0
Industrial Technologies |  |  |
Disaggregation of Revenue [Line Items] |  |  |
Sales | 335,523 | 284,495 | 228,453
Industrial Technologies | North America |  |  |
Disaggregation of Revenue [Line Items] |  |  |
Sales | 155,977 | 142,516 | 120,682
Industrial Technologies | Central and South America |  |  |
Disaggregation of Revenue [Line Items] |  |  |
Sales | 0 | 0 | 0
Industrial Technologies | Europe |  |  |
Disaggregation of Revenue [Line Items] |  |  |
Sales | 172,985 | 135,612 | 104,773
Industrial Technologies | Australia |  |  |
Disaggregation of Revenue [Line Items] |  |  |
Sales | 0 | 0 | 0
Industrial Technologies | Asia |  |  |
Disaggregation of Revenue [Line Items] |  |  |
Sales | 6,561 | 6,367 | 2,998
SGK Brand Solutions |  |  |
Disaggregation of Revenue [Line Items] |  |  |
Sales | 586,756 | 617,519 | 613,818
SGK Brand Solutions | North America |  |  |
Disaggregation of Revenue [Line Items] |  |  |
Sales | 285,499 | 287,954 | 305,527
SGK Brand Solutions | Central and South America |  |  |
Disaggregation of Revenue [Line Items] |  |  |
Sales | 4,729 | 5,036 | 6,304
SGK Brand Solutions | Europe |  |  |
Disaggregation of Revenue [Line Items] |  |  |
Sales | 230,437 | 262,804 | 247,501
SGK Brand Solutions | Australia |  |  |
Disaggregation of Revenue [Line Items] |  |  |
Sales | 11,057 | 13,336 | 12,097
SGK Brand Solutions | Asia |  |  |
Disaggregation of Revenue [Line Items] |  |  |
Sales | $ 55,034 | $ 48,389 | $ 42,389

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