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Business Combinations (Details) - USD ($)
$ in Thousands
12 Months Ended
Jan. 31, 2015
Jan. 31, 2016
Jan. 31, 2014
Business Acquisition [Line Items]      
Goodwill $ 599,929 $ 606,842 $ 549,044
Berkeley Design Automation, Inc. [Member]      
Business Acquisition [Line Items]      
Business Acquisition, Effective Date of Acquisition Mar. 20, 2014    
Payments to Acquire Businesses, Gross $ 46,832    
Acquisition Related Deferred Payment 4,471    
Business Combination, Consideration Transferred 51,303    
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Net 2,335    
Business Combination, Recognized Identifiable Finite-Lived Intangibles $ 24,770    
Fair Value Inputs, Discount Rate 15.00%    
Goodwill $ 24,198    
Other Acquired Entities [Member]      
Business Acquisition [Line Items]      
Business Combination, Consideration Transferred 49,315    
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Net 876    
Business Combination, Recognized Identifiable Finite-Lived Intangibles 15,160    
Goodwill 33,279    
Total FY15 Acquisitions [Member]      
Business Acquisition [Line Items]      
Business Combination, Consideration Transferred 100,618    
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Net 3,211    
Business Combination, Recognized Identifiable Finite-Lived Intangibles 39,930    
Goodwill 57,477    
Other Intangible Assets | Berkeley Design Automation, Inc. [Member]      
Business Acquisition [Line Items]      
Business Combination, Recognized Identifiable Finite-Lived Intangibles $ 13,570    
Other Intangible Assets | Minimum | Berkeley Design Automation, Inc. [Member]      
Business Acquisition [Line Items]      
Finite-Lived intangible asset, useful life 2 years    
Other Intangible Assets | Maximum | Berkeley Design Automation, Inc. [Member]      
Business Acquisition [Line Items]      
Finite-Lived intangible asset, useful life 5 years    
Developed Technology Rights [Member] | Berkeley Design Automation, Inc. [Member]      
Business Acquisition [Line Items]      
Business Combination, Recognized Identifiable Finite-Lived Intangibles $ 11,200    
Finite-Lived intangible asset, useful life 5 years