| Summary of Changes in Carrying Amount of Goodwill |
Changes in the carrying amount of goodwill for the nine months ended July 31, 2026 by operating segment: | | | | | | | | | | | | | | | | | | | | | | | | | | | | | IPS | | MFS | | ATS | | Total | | Balance at October 31, 2025 | | $ | 1,210,366 | | | $ | 1,647,468 | | | $ | 446,851 | | | $ | 3,304,685 | | | | | | | | | | | | | | | | | | | | | Currency effect | | 9,736 | | | (34) | | | 1,433 | | | 11,135 | | | Balance at July 31, 2026 | | $ | 1,220,102 | | | $ | 1,647,434 | | | $ | 448,284 | | | $ | 3,315,820 | |
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| Summary of Intangible Assets Subject to Amortization |
Information regarding intangible assets subject to amortization: | | | | | | | | | | | | | | | | | | | | | | | July 31, 2026 | | | Carrying
Amount | | Accumulated
Amortization | | Net Book
Value | | Customer relationships | | $ | 902,320 | | | $ | 425,531 | | | $ | 476,789 | | | Patent/technology costs | | 235,713 | | | 170,483 | | | 65,230 | | | Trade name | | 169,271 | | | 84,947 | | | 84,324 | | | | | | | | | | | | | | | | | Total | | $ | 1,307,304 | | | $ | 680,961 | | | $ | 626,343 | | | | | | | | | | | October 31, 2025 | | | Carrying
Amount | | Accumulated
Amortization | | Net Book
Value | | Customer relationships | | $ | 899,402 | | | $ | 390,751 | | | $ | 508,651 | | | Patent/technology costs | | 235,255 | | | 155,865 | | | 79,390 | | | Trade name | | 169,127 | | | 75,581 | | | 93,546 | | | Non-compete agreements | | 8,596 | | | 8,596 | | | — | | | Other | | 929 | | | 929 | | | — | | | Total | | $ | 1,313,309 | | | $ | 631,722 | | | $ | 681,587 | |
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