| Summary of Changes in Carrying Amount of Goodwill |
Changes in the carrying amount of goodwill for the nine months ended July 31, 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 | | | Other | | — | | | (10,565) | | | — | | | (10,565) | | | Division transfer | | (29,010) | | | — | | | 29,010 | | | — | | | Currency effect | | 20,290 | | | 1,967 | | | 13,921 | | | 36,178 | | | Balance at July 31, 2025 | | $ | 1,198,911 | | | $ | 1,661,150 | | | $ | 446,371 | | | $ | 3,306,432 | |
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| Summary of Intangible Assets Subject to Amortization |
Information regarding our intangible assets subject to amortization was as follows: | | | | | | | | | | | | | | | | | | | | | | | | July 31, 2025 | | | | Carrying
Amount | | Accumulated
Amortization | | Net Book
Value | | Customer relationships | | $ | 896,298 | | | $ | 378,959 | | | $ | 517,339 | | | Patent/technology costs | | 234,559 | | | 150,307 | | | 84,252 | | | Trade name | | 169,036 | | | 72,627 | | | 96,409 | | | Non-compete agreements | | 8,637 | | | 8,637 | | | — | | | Other | | 390 | | | 390 | | | — | | | Total | | $ | 1,308,920 | | | $ | 610,920 | | | $ | 698,000 | | | | | | | | | | | | 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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