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Goodwil, Long-lived Assets, and Other Charges - Goodwill Narrative (Details)
$ in Thousands
3 Months Ended 9 Months Ended 12 Months Ended
Jan. 31, 2020
USD ($)
ReportingUnits
Oct. 31, 2020
ReportingUnits
Oct. 31, 2019
ReportingUnits
Jan. 31, 2021
USD ($)
Jan. 31, 2020
USD ($)
Jan. 31, 2019
USD ($)
ReportingUnits
Goodwill [Line Items]            
Number reporting units for Goodwill impairment analysis | ReportingUnits 4 4 3     3
Goodwill $ 106,509     $ 107,677 $ 106,509 $ 50,942
Operating Income (Loss)            
Goodwill [Line Items]            
Goodwill impairment loss       0 0 0
Applied Technology            
Goodwill [Line Items]            
Goodwill $ 72,643     $ 73,811 $ 72,643 $ 17,076
Applied Technology | Autonomy            
Goodwill [Line Items]            
Percentage of fair value in excess of carrying amount       20.00%    
Goodwill       $ 56,613