Revenue from Contract with Customer Disaggregation of Revenue (Details) - USD ($) $ in Thousands	3 Months Ended								12 Months Ended
	Dec. 28, 2019	Sep. 28, 2019	Jun. 29, 2019	Mar. 30, 2019	Dec. 29, 2018	Sep. 29, 2018	Jun. 30, 2018	Mar. 31, 2018	Dec. 28, 2019	Dec. 29, 2018	Dec. 30, 2017
Disaggregation of Revenue [Line Items]
Revenue	$ 1,442,232	$ 1,429,428	$ 1,431,061	$ 1,389,877	$ 1,365,664	$ 1,340,073	$ 1,367,727	$ 1,292,861	$ 5,692,598	$ 5,366,325	$ 5,142,272
Transferred over Time [Member]
Disaggregation of Revenue [Line Items]
Revenue									5,166,125	4,841,714
Transferred at Point in Time [Member]
Disaggregation of Revenue [Line Items]
Revenue									526,473	524,611
Revenue, Licensed Software, Net [Member]
Disaggregation of Revenue [Line Items]
Revenue									680,585	613,578	612,190
Revenue, Technology Resale, Net [Member]
Disaggregation of Revenue [Line Items]
Revenue									246,885	245,076	273,593
Revenue, Subscriptions, Net [Member]
Disaggregation of Revenue [Line Items]
Revenue									358,715	325,709	469,389
Revenue, Professional Services, Net [Member]
Disaggregation of Revenue [Line Items]
Revenue									1,992,478	1,811,463	1,591,849
Revenue, Managed Services, Net [Member]
Disaggregation of Revenue [Line Items]
Revenue									1,213,900	1,154,941	1,047,132
Revenue, Support and Maintenance Services, Net [Member]
Disaggregation of Revenue [Line Items]
Revenue									1,104,638	1,118,116	1,046,656
Revenue, Reimbursement Revenue [Member]
Disaggregation of Revenue [Line Items]
Revenue									95,397	97,442	101,463
Domestic Segment [Member]
Disaggregation of Revenue [Line Items]
Revenue									5,038,127	4,730,266	4,575,171
Domestic Segment [Member] | Transferred over Time [Member]
Disaggregation of Revenue [Line Items]
Revenue									4,565,172	4,271,934
Domestic Segment [Member] | Transferred at Point in Time [Member]
Disaggregation of Revenue [Line Items]
Revenue									472,955	458,332
Domestic Segment [Member] | Revenue, Licensed Software, Net [Member]
Disaggregation of Revenue [Line Items]
Revenue									628,958	573,034	563,524
Domestic Segment [Member] | Revenue, Technology Resale, Net [Member]
Disaggregation of Revenue [Line Items]
Revenue									225,076	208,722	248,524
Domestic Segment [Member] | Revenue, Subscriptions, Net [Member]
Disaggregation of Revenue [Line Items]
Revenue									333,298	300,555	446,426
Domestic Segment [Member] | Revenue, Professional Services, Net [Member]
Disaggregation of Revenue [Line Items]
Revenue									1,760,532	1,574,407	1,393,056
Domestic Segment [Member] | Revenue, Managed Services, Net [Member]
Disaggregation of Revenue [Line Items]
Revenue									1,098,695	1,060,081	970,609
Domestic Segment [Member] | Revenue, Support and Maintenance Services, Net [Member]
Disaggregation of Revenue [Line Items]
Revenue									904,204	921,336	856,304
Domestic Segment [Member] | Revenue, Reimbursement Revenue [Member]
Disaggregation of Revenue [Line Items]
Revenue									87,364	92,131	96,728
International Segment [Member]
Disaggregation of Revenue [Line Items]
Revenue									654,471	636,059	567,101
International Segment [Member] | Transferred over Time [Member]
Disaggregation of Revenue [Line Items]
Revenue									600,953	569,780
International Segment [Member] | Transferred at Point in Time [Member]
Disaggregation of Revenue [Line Items]
Revenue									53,518	66,279
International Segment [Member] | Revenue, Licensed Software, Net [Member]
Disaggregation of Revenue [Line Items]
Revenue									51,627	40,544	48,666
International Segment [Member] | Revenue, Technology Resale, Net [Member]
Disaggregation of Revenue [Line Items]
Revenue									21,809	36,354	25,069
International Segment [Member] | Revenue, Subscriptions, Net [Member]
Disaggregation of Revenue [Line Items]
Revenue									25,417	25,154	22,963
International Segment [Member] | Revenue, Professional Services, Net [Member]
Disaggregation of Revenue [Line Items]
Revenue									231,946	237,056	198,793
International Segment [Member] | Revenue, Managed Services, Net [Member]
Disaggregation of Revenue [Line Items]
Revenue									115,205	94,860	76,523
International Segment [Member] | Revenue, Support and Maintenance Services, Net [Member]
Disaggregation of Revenue [Line Items]
Revenue									200,434	196,780	190,352
International Segment [Member] | Revenue, Reimbursement Revenue [Member]
Disaggregation of Revenue [Line Items]
Revenue									$ 8,033	$ 5,311	$ 4,735