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Acquisition | TS Allocation of Purchase Price (Details) - USD ($)
$ in Thousands
1 Months Ended 12 Months Ended
Feb. 28, 2017
Jan. 31, 2018
Jan. 31, 2020
Jan. 31, 2019
Feb. 27, 2017
Business Acquisition [Line Items]          
Goodwill     $ 973,257 $ 892,990  
TS          
Business Acquisition [Line Items]          
Finite-lived Intangible Assets Acquired   $ 1,000,000      
Cash         $ 176,000
Accounts receivable         1,830,000
Inventories         239,000
Prepaid expenses and other current assets         100,000
Property and equipment, net         62,000
Goodwill         727,000
Intangible assets         919,000
Other assets, net         151,000
Total assets         4,204,000
Other current liabilities         1,169,000
Revolving credit loans and long-term debt         134,000
Other long-term liabilities         99,000
Total liabilities         1,402,000
Purchase price         $ 2,802,000
Customer Relationships [Member] | TS          
Business Acquisition [Line Items]          
Finite-lived Intangible Assets Acquired $ 875,000 875,000      
Acquired Finite-lived Intangible Assets, Weighted Average Useful Life 14 years        
Trade Names [Member] | TS          
Business Acquisition [Line Items]          
Finite-lived Intangible Assets Acquired $ 44,000 $ 44,000      
Acquired Finite-lived Intangible Assets, Weighted Average Useful Life 5 years