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Goodwill and Other Intangible Assets
6 Months Ended
Apr. 30, 2021
Goodwill and Intangible Assets Disclosure [Abstract]  
Goodwill and Other Intangible Assets
Goodwill and other intangible assets  
Changes in the carrying amount of goodwill for the six months ended April 30, 2021 by operating segment were as follows:
 Industrial
Precision
Solutions
Advanced
Technology
Solutions
Total
Balance at October 31, 2020$415,862 $1,297,492 $1,713,354 
Currency effect3,507 4,129 7,636 
Balance at April 30, 2021$419,369 $1,301,621 $1,720,990 

Information regarding our intangible assets subject to amortization was as follows:
 April 30, 2021
 Carrying 
Amount
Accumulated
Amortization
Net Book 
Value
Customer relationships$486,696 $212,301 $274,395 
Patent/technology costs155,346 84,173 71,173 
Trade name74,666 37,501 37,165 
Non-compete agreements10,005 8,884 1,121 
Other1,394 1,392 2 
Total$728,107 $344,251 $383,856 
 October 31, 2020
 Carrying 
Amount
Accumulated
Amortization
Net Book 
Value
Customer relationships$483,568 $193,617 $289,951 
Patent/technology costs153,555 76,934 76,621 
Trade name74,240 34,693 39,547 
Non-compete agreements9,908 8,444 1,464 
Other1,403 1,400 
Total$722,674 $315,088 $407,586 
Amortization expense for the three months ended April 30, 2021 and 2020 was $12,617 and $14,660, respectively. Amortization expense for the six months ended April 30, 2021 and 2020 was $25,697 and $30,833, respectively.