| Summary of Changes in Carrying Amount of Goodwill |
Changes in the carrying amount of goodwill for the six months ended April 30, 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 | | 24,888 | | | 720 | | | 2,634 | | | 28,242 | | | Balance at April 30, 2026 | | $ | 1,235,254 | | | $ | 1,648,188 | | | $ | 449,485 | | | $ | 3,332,927 | |
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| Summary of Intangible Assets Subject to Amortization |
Information regarding intangible assets subject to amortization: | | | | | | | | | | | | | | | | | | | | | | | | April 30, 2026 | | | | Carrying
Amount | | Accumulated
Amortization | | Net Book
Value | | Customer relationships | | $ | 908,882 | | | $ | 416,155 | | | $ | 492,727 | | | Patent/technology costs | | 236,872 | | | 166,438 | | | 70,434 | | | Trade name | | 169,988 | | | 82,164 | | | 87,824 | | | Non-compete agreements | | 8,657 | | | 8,657 | | | — | | | Other | | 920 | | | 920 | | | — | | | Total | | $ | 1,325,319 | | | $ | 674,334 | | | $ | 650,985 | | | | | | | | | | | | 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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