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Segment Information - Segment Reporting Information by Segment (Details) - USD ($) $ in Thousands	3 Months Ended		9 Months Ended
	Sep. 30, 2018	Sep. 30, 2017	Sep. 30, 2018	Sep. 30, 2017	Dec. 31, 2017
Segment information
Revenues	$ 1,060,991	$ 965,661	$ 3,164,272	$ 2,854,343
Depreciation and Amortization	157,797	128,513	474,595	381,319
Depreciation	112,990	100,573	337,923	302,480
Amortization	44,807	27,940	136,672	78,839
Adjusted EBITDA	363,789	323,024	1,076,258	933,652
Assets	11,805,969	10,260,006	11,805,969	10,260,006	$ 10,972,402
Expenditures for Segment Assets	182,822	262,821	2,104,525	494,761
Capital Expenditures	112,352	78,539	329,953	243,746
Cash Paid for Acquisitions, Net of Cash Acquired	44,142	155,905	1,711,011	194,128
Payments to Acquire Customer Relationships, Customer Inducements and Contract Fulfillment Costs	26,328		63,561
Payments to Acquire Intangible Assets and Customer Inducements		28,377		56,887
North American Records and Information Management business
Segment information
Revenues	539,603	513,567	1,605,526	1,530,761
Depreciation and Amortization	59,869	57,982	183,591	177,145
Depreciation	46,756	49,201	144,146	151,272
Amortization	13,113	8,781	39,445	25,873
Adjusted EBITDA	248,600	224,882	719,199	655,180
Assets	4,961,149	5,034,140	4,961,149	5,034,140
Expenditures for Segment Assets	53,665	61,016	138,210	165,544
Capital Expenditures	31,373	33,860	86,365	106,673
Cash Paid for Acquisitions, Net of Cash Acquired	0	0	1,551	4,379
Payments to Acquire Customer Relationships, Customer Inducements and Contract Fulfillment Costs	22,292		50,294
Payments to Acquire Intangible Assets and Customer Inducements		27,156		54,492
North American Data Management Business
Segment information
Revenues	97,477	101,230	297,472	301,741
Depreciation and Amortization	9,472	8,296	29,114	24,819
Depreciation	7,277	6,089	22,517	18,243
Amortization	2,195	2,207	6,597	6,576
Adjusted EBITDA	53,484	56,433	162,616	167,151
Assets	823,868	839,425	823,868	839,425
Expenditures for Segment Assets	5,033	7,386	15,529	22,466
Capital Expenditures	5,033	7,386	15,529	22,466
Cash Paid for Acquisitions, Net of Cash Acquired	0	0	0	0
Payments to Acquire Customer Relationships, Customer Inducements and Contract Fulfillment Costs	0		0
Payments to Acquire Intangible Assets and Customer Inducements		0		0
Western European Business
Segment information
Revenues	128,728	128,082	401,815	370,020
Depreciation and Amortization	14,515	17,385	49,985	47,806
Depreciation	10,134	12,080	34,997	35,334
Amortization	4,381	5,305	14,988	12,472
Adjusted EBITDA	40,770	43,464	131,265	114,134
Assets	1,120,215	994,453	1,120,215	994,453
Expenditures for Segment Assets	3,595	5,088	38,978	12,192
Capital Expenditures	1,372	4,573	32,859	11,194
Cash Paid for Acquisitions, Net of Cash Acquired	0	0	0	0
Payments to Acquire Customer Relationships, Customer Inducements and Contract Fulfillment Costs	2,223		6,119
Payments to Acquire Intangible Assets and Customer Inducements		515		998
Other International Business
Segment information
Revenues	198,265	199,698	610,987	581,344
Depreciation and Amortization	31,288	29,397	93,111	87,276
Depreciation	19,134	19,384	56,113	59,207
Amortization	12,154	10,013	36,998	28,069
Adjusted EBITDA	60,153	59,082	181,417	170,595
Assets	2,312,580	2,320,002	2,312,580	2,320,002
Expenditures for Segment Assets	48,509	46,097	110,612	107,801
Capital Expenditures	21,108	19,607	59,827	48,776
Cash Paid for Acquisitions, Net of Cash Acquired	26,277	25,784	45,673	57,628
Payments to Acquire Customer Relationships, Customer Inducements and Contract Fulfillment Costs	1,124		5,112
Payments to Acquire Intangible Assets and Customer Inducements		706		1,397
Global Data Center Business
Segment information
Revenues	63,380	8,249	164,878	24,832
Depreciation and Amortization	27,965	2,302	72,736	5,321
Depreciation	16,431	2,265	40,931	5,156
Amortization	11,534	37	31,805	165
Adjusted EBITDA	27,299	1,077	72,990	8,574
Assets	2,159,955	365,659	2,159,955	365,659
Expenditures for Segment Assets	42,585	60,037	1,745,770	77,729
Capital Expenditures	41,896	5,509	98,169	23,201
Cash Paid for Acquisitions, Net of Cash Acquired	0	54,528	1,645,922	54,528
Payments to Acquire Customer Relationships, Customer Inducements and Contract Fulfillment Costs	689		1,679
Payments to Acquire Intangible Assets and Customer Inducements		0		0
Corporate and Other
Segment information
Revenues	33,538	14,835	83,594	45,645
Depreciation and Amortization	14,688	13,151	46,058	38,952
Depreciation	13,258	11,554	39,219	33,268
Amortization	1,430	1,597	6,839	5,684
Adjusted EBITDA	(66,517)	(61,914)	(191,229)	(181,982)
Assets	428,202	706,327	428,202	706,327
Expenditures for Segment Assets	29,435	83,197	55,426	109,029
Capital Expenditures	11,570	7,604	37,204	31,436
Cash Paid for Acquisitions, Net of Cash Acquired	17,865	75,593	17,865	77,593
Payments to Acquire Customer Relationships, Customer Inducements and Contract Fulfillment Costs	0		357
Payments to Acquire Intangible Assets and Customer Inducements		0		0
Storage rental
Segment information
Revenues	656,973	601,091	1,963,561	1,763,609
Storage rental | North American Records and Information Management business
Segment information
Revenues	306,633	308,822	917,347	912,173
Storage rental | North American Data Management Business
Segment information
Revenues	67,779	70,075	205,833	207,634
Storage rental | Western European Business
Segment information
Revenues	79,492	78,012	245,883	224,114
Storage rental | Other International Business
Segment information
Revenues	124,920	125,903	386,278	364,835
Storage rental | Global Data Center Business
Segment information
Revenues	60,039	7,761	157,479	23,550
Storage rental | Corporate and Other
Segment information
Revenues	18,110	10,518	50,741	31,303
Service
Segment information
Revenues	404,018	364,570	1,200,711	1,090,734
Service | North American Records and Information Management business
Segment information
Revenues	232,970	204,745	688,179	618,588
Service | North American Data Management Business
Segment information
Revenues	29,698	31,155	91,639	94,107
Service | Western European Business
Segment information
Revenues	49,236	50,070	155,932	145,906
Service | Other International Business
Segment information
Revenues	73,345	73,795	224,709	216,509
Service | Global Data Center Business
Segment information
Revenues	3,341	488	7,399	1,282
Service | Corporate and Other
Segment information
Revenues	$ 15,428	$ 4,317	$ 32,853	$ 14,342

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