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Segment Information - Revenue and Expenditures (Details) - USD ($) $ in Thousands	3 Months Ended								12 Months Ended
	Dec. 31, 2018	Sep. 30, 2018	Jun. 30, 2018	Mar. 31, 2018	Dec. 31, 2017	Sep. 30, 2017	Jun. 30, 2017	Mar. 31, 2017	Dec. 31, 2018	Dec. 31, 2017	Dec. 31, 2016
Segment information
Revenues	$ 1,061,489	$ 1,060,991	$ 1,060,823	$ 1,042,458	$ 991,235	$ 965,661	$ 949,806	$ 938,876	$ 4,225,761	$ 3,845,578	$ 3,511,453
Depreciation and Amortization									639,514	522,376	452,326
Depreciation									452,740	406,283	365,526
Amortization									186,774	116,093	86,800
Adjusted EBITDA									1,435,869	1,260,196	1,087,288
Total Assets	11,852,247				10,972,402				11,852,247	10,972,402	9,486,800
Expenditures for Segment Assets									2,317,306	638,021	671,334
Capital Expenditures									460,062	343,131	328,603
Cash Paid for Acquisitions, Net of Cash Acquired									1,758,557	219,705	291,965
Acquisitions of Customer Relationships and Customer Inducements									98,687	75,185	50,766
North American Records and Information Management Business
Segment information
Revenues									2,137,781	2,050,346	1,930,699
North American Records and Information Management Business | Operating Segments
Segment information
Revenues									2,137,781	2,050,346	1,930,699
Depreciation and Amortization									243,415	240,524	215,330
Depreciation									190,493	201,204	186,467
Amortization									52,922	39,320	28,863
Adjusted EBITDA									956,890	884,158	775,717
Total Assets	4,933,269				5,050,240				4,933,269	5,050,240	4,996,216
Expenditures for Segment Assets									196,010	205,531	145,636
Capital Expenditures									115,555	134,785	111,062
Cash Paid for Acquisitions, Net of Cash Acquired									1,551	6,624	(2,591)
Acquisitions of Customer Relationships and Customer Inducements									78,904	64,122	37,165
North American Data Management Business
Segment information
Revenues									393,993	401,640	392,814
North American Data Management Business | Operating Segments
Segment information
Revenues									393,993	401,640	392,814
Depreciation and Amortization									38,850	34,759	26,629
Depreciation									30,066	24,623	20,666
Amortization									8,784	10,136	5,963
Adjusted EBITDA									213,893	223,324	224,522
Total Assets	807,564				839,539				807,564	839,539	826,320
Expenditures for Segment Assets									19,325	31,279	26,054
Capital Expenditures									19,325	31,279	22,731
Cash Paid for Acquisitions, Net of Cash Acquired									0	0	(59)
Acquisitions of Customer Relationships and Customer Inducements									0	0	3,382
Western European Business
Segment information
Revenues									521,555	490,746	447,357
Western European Business | Operating Segments
Segment information
Revenues									521,555	490,746	447,357
Depreciation and Amortization									64,795	64,051	55,427
Depreciation									45,590	47,526	42,458
Amortization									19,205	16,525	12,969
Adjusted EBITDA									180,172	159,142	136,985
Total Assets	1,179,065				911,012				1,179,065	911,012	1,020,439
Expenditures for Segment Assets									63,142	21,853	31,251
Capital Expenditures									39,163	19,782	30,735
Cash Paid for Acquisitions, Net of Cash Acquired									14,579	0	(6,878)
Acquisitions of Customer Relationships and Customer Inducements									9,400	2,071	7,394
Other International Business
Segment information
Revenues									821,333	795,851	659,370
Other International Business | Operating Segments
Segment information
Revenues									821,333	795,851	659,370
Depreciation and Amortization									125,154	119,402	100,645
Depreciation									75,294	78,664	67,465
Amortization									49,860	40,738	33,180
Adjusted EBITDA									243,008	227,312	169,563
Total Assets	2,262,672				2,401,579				2,262,672	2,401,579	2,114,599
Expenditures for Segment Assets									165,167	166,057	365,845
Capital Expenditures									80,275	76,720	62,594
Cash Paid for Acquisitions, Net of Cash Acquired									77,087	80,345	300,451
Acquisitions of Customer Relationships and Customer Inducements									7,805	8,992	2,800
Global Data Center Business
Segment information
Revenues									228,983	37,694	24,249
Global Data Center Business | Operating Segments
Segment information
Revenues									228,983	37,694	24,249
Depreciation and Amortization									105,680	10,224	4,827
Depreciation									58,707	8,617	4,610
Amortization									46,973	1,607	217
Adjusted EBITDA									99,574	11,275	6,212
Total Assets	2,217,505				382,198				2,217,505	382,198	167,757
Expenditures for Segment Assets									1,794,386	86,543	70,060
Capital Expenditures									152,739	32,015	70,060
Cash Paid for Acquisitions, Net of Cash Acquired									1,639,427	54,528	0
Acquisitions of Customer Relationships and Customer Inducements									2,220	0	0
Corporate and Other Business
Segment information
Revenues									122,116	69,301	56,964
Corporate and Other Business | Operating Segments
Segment information
Revenues									122,116	69,301	56,964
Depreciation and Amortization									61,620	53,416	49,468
Depreciation									52,590	45,649	43,860
Amortization									9,030	7,767	5,608
Adjusted EBITDA									(257,668)	(245,015)	(225,711)
Total Assets	$ 452,172				$ 1,387,834				452,172	1,387,834	361,469
Expenditures for Segment Assets									79,276	126,758	32,488
Capital Expenditures									53,005	48,550	31,421
Cash Paid for Acquisitions, Net of Cash Acquired									25,913	78,208	1,042
Acquisitions of Customer Relationships and Customer Inducements									358	0	25
Storage rental
Segment information
Revenues									2,622,455	2,377,557	2,142,905
Storage rental | North American Records and Information Management Business | Operating Segments
Segment information
Revenues									1,222,230	1,221,495	1,150,646
Storage rental | North American Data Management Business | Operating Segments
Segment information
Revenues									273,193	276,416	264,148
Storage rental | Western European Business | Operating Segments
Segment information
Revenues									325,624	303,205	275,659
Storage rental | Other International Business | Operating Segments
Segment information
Revenues									512,358	493,118	393,005
Storage rental | Global Data Center Business | Operating Segments
Segment information
Revenues									218,675	35,839	22,026
Storage rental | Corporate and Other Business | Operating Segments
Segment information
Revenues									70,375	47,484	37,421
Service
Segment information
Revenues									1,603,306	1,468,021	1,368,548
Service | North American Records and Information Management Business | Operating Segments
Segment information
Revenues									915,551	828,851	780,053
Service | North American Data Management Business | Operating Segments
Segment information
Revenues									120,800	125,224	128,666
Service | Western European Business | Operating Segments
Segment information
Revenues									195,931	187,541	171,698
Service | Other International Business | Operating Segments
Segment information
Revenues									308,975	302,733	266,365
Service | Global Data Center Business | Operating Segments
Segment information
Revenues									10,308	1,855	2,223
Service | Corporate and Other Business | Operating Segments
Segment information
Revenues									$ 51,741	$ 21,817	$ 19,543

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