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Revenue from Contracts with Customers Disaggregation of Revenue (Details) - USD ($)
$ in Thousands
3 Months Ended 9 Months Ended
Sep. 29, 2018
Sep. 30, 2017
Sep. 29, 2018
Sep. 30, 2017
Disaggregation of Revenue [Line Items]        
Revenues $ 1,340,073 $ 1,276,007 $ 4,000,661 $ 3,828,487
Transferred over Time [Member]        
Disaggregation of Revenue [Line Items]        
Revenues 1,215,623   3,595,393  
Transferred at Point in Time [Member]        
Disaggregation of Revenue [Line Items]        
Revenues 124,450   405,268  
Domestic Segment        
Disaggregation of Revenue [Line Items]        
Revenues 1,188,154 1,133,971 3,525,314 3,421,429
Domestic Segment | Transferred over Time [Member]        
Disaggregation of Revenue [Line Items]        
Revenues 1,078,029   3,169,402  
Domestic Segment | Transferred at Point in Time [Member]        
Disaggregation of Revenue [Line Items]        
Revenues 110,125   355,912  
Global Segment        
Disaggregation of Revenue [Line Items]        
Revenues 151,919 142,036 475,347 407,058
Global Segment | Transferred over Time [Member]        
Disaggregation of Revenue [Line Items]        
Revenues 137,594   425,991  
Global Segment | Transferred at Point in Time [Member]        
Disaggregation of Revenue [Line Items]        
Revenues 14,325   49,356  
Sales Revenue, Licensed Software, Net [Member]        
Disaggregation of Revenue [Line Items]        
Revenues 139,888 144,515 447,095 442,729
Sales Revenue, Licensed Software, Net [Member] | Domestic Segment        
Disaggregation of Revenue [Line Items]        
Revenues 132,447 133,339 417,761 412,766
Sales Revenue, Licensed Software, Net [Member] | Global Segment        
Disaggregation of Revenue [Line Items]        
Revenues 7,441 11,176 29,334 29,963
Sales Revenue, Technology Resale, Net [Member]        
Disaggregation of Revenue [Line Items]        
Revenues 60,378 56,946 199,011 194,185
Sales Revenue, Technology Resale, Net [Member] | Domestic Segment        
Disaggregation of Revenue [Line Items]        
Revenues 51,097 49,793 171,135 176,664
Sales Revenue, Technology Resale, Net [Member] | Global Segment        
Disaggregation of Revenue [Line Items]        
Revenues 9,281 7,153 27,876 17,521
Sales Revenue, Subscriptions, Net [Member]        
Disaggregation of Revenue [Line Items]        
Revenues 79,115 122,560 238,702 354,771
Sales Revenue, Subscriptions, Net [Member] | Domestic Segment        
Disaggregation of Revenue [Line Items]        
Revenues 73,792 116,144 220,063 336,914
Sales Revenue, Subscriptions, Net [Member] | Global Segment        
Disaggregation of Revenue [Line Items]        
Revenues 5,323 6,416 18,639 17,857
Sales Revenue, Professional Services, Net [Member]        
Disaggregation of Revenue [Line Items]        
Revenues 456,725 400,884 1,345,311 1,193,362
Sales Revenue, Professional Services, Net [Member] | Domestic Segment        
Disaggregation of Revenue [Line Items]        
Revenues 400,695 354,390 1,168,079 1,050,567
Sales Revenue, Professional Services, Net [Member] | Global Segment        
Disaggregation of Revenue [Line Items]        
Revenues 56,030 46,494 177,232 142,795
Sales Revenue, Managed Services, Net [Member]        
Disaggregation of Revenue [Line Items]        
Revenues 302,000 263,584 855,857 785,082
Sales Revenue, Managed Services, Net [Member] | Domestic Segment        
Disaggregation of Revenue [Line Items]        
Revenues 278,019 243,454 785,951 728,760
Sales Revenue, Managed Services, Net [Member] | Global Segment        
Disaggregation of Revenue [Line Items]        
Revenues 23,981 20,130 69,906 56,322
Sales Revenue, Support and Maintenance Services, Net [Member]        
Disaggregation of Revenue [Line Items]        
Revenues 277,780 263,361 841,300 785,039
Sales Revenue, Support and Maintenance Services, Net [Member] | Domestic Segment        
Disaggregation of Revenue [Line Items]        
Revenues 229,202 213,728 693,217 646,114
Sales Revenue, Support and Maintenance Services, Net [Member] | Global Segment        
Disaggregation of Revenue [Line Items]        
Revenues 48,578 49,633 148,083 138,925
Sales Revenue, Reimbursement Revenue [Member]        
Disaggregation of Revenue [Line Items]        
Revenues 24,187 24,157 73,385 73,319
Sales Revenue, Reimbursement Revenue [Member] | Domestic Segment        
Disaggregation of Revenue [Line Items]        
Revenues 22,902 23,123 69,108 69,644
Sales Revenue, Reimbursement Revenue [Member] | Global Segment        
Disaggregation of Revenue [Line Items]        
Revenues $ 1,285 $ 1,034 $ 4,277 $ 3,675