| Summary of Changes in Carrying Amount of Goodwill |
Changes in the carrying amount of goodwill for the six months ended April 30, 2025 by operating segment were as follows: | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Industrial
Precision
Solutions | | Medical and Fluid Solutions | | Advanced
Technology
Solutions | | Total | | Balance at October 31, 2024 | | $ | 1,207,631 | | | $ | 1,669,748 | | | $ | 403,440 | | | $ | 3,280,819 | | | | | | | | | | | | Division transfer | | (29,010) | | | — | | | 29,010 | | | — | | | Currency effect | | 14,365 | | | 1,642 | | | 13,835 | | | 29,842 | | | Balance at April 30, 2025 | | $ | 1,192,986 | | | $ | 1,671,390 | | | $ | 446,285 | | | $ | 3,310,661 | |
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| Summary of Intangible Assets Subject to Amortization |
Information regarding our intangible assets subject to amortization was as follows: | | | | | | | | | | | | | | | | | | | | | | | | April 30, 2025 | | | | Carrying
Amount | | Accumulated
Amortization | | Net Book
Value | | Customer relationships | | $ | 893,451 | | | $ | 366,602 | | | $ | 526,849 | | | Patent/technology costs | | 235,161 | | | 145,921 | | | 89,240 | | | Trade name | | 168,786 | | | 69,459 | | | 99,327 | | | Non-compete agreements | | 8,619 | | | 8,606 | | | 13 | | | Other | | 214 | | | 214 | | | — | | | Total | | $ | 1,306,231 | | | $ | 590,802 | | | $ | 715,429 | | | | | | | | | | | | October 31, 2024 | | | | Carrying
Amount | | Accumulated
Amortization | | Net Book
Value | | Customer relationships | | $ | 878,071 | | | $ | 339,756 | | | $ | 538,315 | | | Patent/technology costs | | 232,371 | | | 134,187 | | | 98,184 | | | Trade name | | 167,144 | | | 62,887 | | | 104,257 | | | Non-compete agreements | | 8,502 | | | 8,412 | | | 90 | | | Other | | 500 | | | 500 | | | — | | | Total | | $ | 1,286,588 | | | $ | 545,742 | | | $ | 740,846 | |
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