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Quarterly Results (Unaudited) (Details) - USD ($) $ / shares in Units, $ in Thousands	3 Months Ended							6 Months Ended	12 Months Ended
	Mar. 31, 2019	Dec. 31, 2018	Sep. 30, 2018	Jun. 30, 2018	Mar. 31, 2018	Dec. 31, 2017	Jun. 30, 2017	Sep. 30, 2017	Mar. 31, 2019		Mar. 31, 2018		Mar. 31, 2017
Effect of Fourth Quarter Events [Line Items]
Revenues	$ 768,213	$ 696,238	$ 678,961	$ 638,758	$ 715,973	$ 661,900	$ 607,964	$ 634,159	$ 2,782,170		$ 2,619,996		$ 2,612,756
Cost of revenues:
Cost of Revenue	433,497	409,241	394,297	369,708	423,608	383,682	352,198	367,762	1,606,743		1,527,250		1,586,543
Gross Profit	$ 334,716	$ 286,997	$ 284,664	$ 269,050	$ 292,365	$ 278,218	$ 255,766	$ 266,397	1,175,427		1,092,746		1,026,213
Gross Profit Percentage	43.60%	41.20%	41.90%	42.10%	40.80%	42.00%	42.10%	42.00%
Restructuring expenses	$ 4,840	$ 26,147	$ 0	$ 0	$ (53)	$ 78	$ 51	$ 27	40,708	[1]	103	[1]	215	[1]
Net Income (Loss) Attributable to Parent	$ 108,745	$ 47,858	$ 77,457	$ 69,991	$ 73,598	$ 94,781	$ 58,077	$ 64,459	$ 304,051		$ 290,915		$ 109,965
Earnings Per Share, Basic	$ 1.29	$ 0.57	$ 0.92	$ 0.83	$ 0.87	$ 1.12	$ 0.68	$ 0.76	$ 3.59		$ 3.42		$ 1.29
Earnings Per Share, Diluted	$ 1.27	$ 0.56	$ 0.91	$ 0.82	$ 0.86	$ 1.11	$ 0.68	$ 0.75	$ 3.56		$ 3.39		$ 1.28
Service [Member]
Effect of Fourth Quarter Events [Line Items]
Revenues	$ 393,276	$ 368,599	$ 364,302	$ 359,968	$ 364,963	$ 352,439	$ 334,359	$ 347,602	$ 1,486,145		$ 1,399,363		$ 1,414,437
Cost of revenues:
Cost of Goods and Services Sold	232,140	227,012	222,190	223,106	235,898	221,071	208,953	215,151	904,448		881,073		962,523
Product [Member]
Effect of Fourth Quarter Events [Line Items]
Revenues	374,937	327,639	314,659	278,790	351,010	309,461	273,605	286,557	1,296,025		1,220,633		1,198,319
Cost of revenues:
Cost of Goods and Services Sold	$ 201,357	$ 182,229	$ 172,107	$ 146,602	$ 187,710	$ 162,611	$ 143,245	$ 152,611	$ 702,295		$ 646,177		$ 624,020
[1] See Note 2 titled, "Restructuring", for more information.

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