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Operating Segments and Geographic Area Data - Reportable Segments (Detail) - USD ($)
$ in Thousands
 3 Months Ended 12 Months Ended
Oct. 31, 2020
Jul. 31, 2020
Apr. 30, 2020
Jan. 31, 2020
Oct. 31, 2019
Jul. 31, 2019
Apr. 30, 2019
Jan. 31, 2019
Oct. 31, 2020
Oct. 31, 2019
Oct. 31, 2018
Segment Reporting Information [Line Items]                      
Net external sales $ 558,525 $ 538,181 $ 529,478 $ 494,916 $ 585,451 $ 559,746 $ 551,119 $ 497,910 $ 2,121,100 $ 2,194,226 $ 2,254,668
Operating profit (loss)                 349,545 483,113 502,579
Identifiable assets 3,674,656       3,516,447       3,674,656 3,516,447 3,421,012
Property, plant and equipment expenditures                 50,535 64,244 89,790
Operating Segments                      
Segment Reporting Information [Line Items]                      
Net external sales                 2,121,100 2,194,226 2,254,668
Depreciation and amortization                 113,302 110,244 108,407
Operating profit (loss)                 349,545 483,113 502,579
Identifiable assets 3,680,385       3,519,907       3,680,385 3,519,907 3,428,922
Property, plant and equipment expenditures                 50,535 64,244 89,790
Operating Segments | Industrial Precision Solutions                      
Segment Reporting Information [Line Items]                      
Net external sales                 1,143,423 1,208,376 1,215,302
Depreciation and amortization                 38,939 38,333 37,763
Operating profit (loss)                 208,028 329,054 315,048
Identifiable assets 882,946       997,460       882,946 997,460 951,784
Property, plant and equipment expenditures                 18,798 30,400 55,457
Operating Segments | Advanced Technology Solutions                      
Segment Reporting Information [Line Items]                      
Net external sales                 977,677 985,850 1,039,366
Depreciation and amortization                 64,543 62,836 62,594
Operating profit (loss)                 191,602 205,609 244,880
Identifiable assets 1,849,391       1,740,259       1,849,391 1,740,259 1,713,404
Property, plant and equipment expenditures                 31,737 26,010 16,205
Corporate                      
Segment Reporting Information [Line Items]                      
Net external sales                 0 0 0
Depreciation and amortization                 9,820 9,075 8,050
Operating profit (loss)                 (50,085) (51,550) (57,349)
Identifiable assets $ 948,048       $ 782,188       948,048 782,188 763,734
Property, plant and equipment expenditures                 $ 0 $ 7,834 $ 18,128