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Segment Information - Additional Information (Detail)
3 Months Ended 9 Months Ended
Jan. 01, 2018
USD ($)
Sep. 30, 2019
USD ($)
Sep. 30, 2018
USD ($)
Mar. 31, 2018
USD ($)
Sep. 30, 2019
USD ($)
segment
Sep. 30, 2018
USD ($)
Segment Reporting Information [Line Items]            
Revenue   $ 757,600,000 $ 688,300,000   $ 2,207,200,000 $ 2,064,100,000
Number of business segments | segment         2  
Profit included in operating income   70,900,000 55,800,000   $ 200,800,000 211,600,000
Technology            
Segment Reporting Information [Line Items]            
Revenue   103,500,000 82,700,000   287,600,000 303,300,000
Profit included in operating income   34,900,000 34,500,000   119,400,000 154,700,000
Technology | Software License Extensions and Renewals            
Segment Reporting Information [Line Items]            
Revenue $ 53,000,000.0     $ 53,000,000.0    
Technology | Other Technology | Segment Reconciling Items            
Segment Reporting Information [Line Items]            
Profit included in operating income   $ 0 $ 100,000   $ 200,000 $ 2,300,000