Segment Information - Revenue and Expenditures (Details) - USD ($) $ in Thousands	12 Months Ended
	Dec. 31, 2023	Dec. 31, 2022	Dec. 31, 2021
Segment information
Total Revenues	$ 5,480,289	$ 5,103,574	$ 4,491,531
Depreciation and Amortization	776,159	727,595	680,422
Depreciation	525,850	478,984	465,072
Amortization	250,309	248,611	215,350
Adjusted EBITDA	1,961,677	1,827,057	1,634,699
Total Assets	17,473,802	16,140,514	14,450,031
Expenditures for Segment Assets	1,482,070	1,757,609	886,898
Capital Expenditures	1,339,223	875,378	611,082
Cash Paid for Acquisitions, Net of Cash Acquired	41,849	803,690	203,998
Acquisitions of Customer Relationships, Customer Inducements and Contract Costs	100,998	78,541	71,818
Storage rental
Segment information
Total Revenues	3,370,645	3,034,023	2,870,119
Service
Segment information
Total Revenues	2,109,644	2,069,551	1,621,412
GLOBAL RIM BUSINESS
Segment information
Total Revenues	4,661,776	4,295,115	3,994,988
Depreciation and Amortization	470,934	469,419	477,713
Depreciation	313,956	308,207	320,451
Amortization	156,978	161,212	157,262
Adjusted EBITDA	2,027,037	1,887,589	1,709,525
Total Assets	10,876,225	10,654,650	11,101,557
Expenditures for Segment Assets	391,889	303,342	369,749
Capital Expenditures	284,978	246,216	213,395
Cash Paid for Acquisitions, Net of Cash Acquired	24,919	(23)	97,044
Acquisitions of Customer Relationships, Customer Inducements and Contract Costs	81,992	57,149	59,310
GLOBAL RIM BUSINESS | Storage rental
Segment information
Total Revenues	2,834,352	2,606,721	2,517,208
GLOBAL RIM BUSINESS | Service
Segment information
Total Revenues	1,827,424	1,688,394	1,477,780
GLOBAL DATA CENTER BUSINESS
Segment information
Total Revenues	495,026	401,125	326,898
Depreciation and Amortization	158,817	140,028	148,023
Depreciation	117,738	103,953	93,679
Amortization	41,079	36,075	54,344
Adjusted EBITDA	215,945	175,622	137,349
Total Assets	4,788,600	3,752,088	2,911,823
Expenditures for Segment Assets	946,791	650,534	422,274
Capital Expenditures	928,883	551,232	320,768
Cash Paid for Acquisitions, Net of Cash Acquired	(764)	78,103	88,998
Acquisitions of Customer Relationships, Customer Inducements and Contract Costs	18,672	21,199	12,508
GLOBAL DATA CENTER BUSINESS | Storage rental
Segment information
Total Revenues	474,066	372,208	289,592
GLOBAL DATA CENTER BUSINESS | Service
Segment information
Total Revenues	20,960	28,917	37,306
CORPORATE  AND OTHER
Segment information
Total Revenues	323,487	407,334	169,645
Depreciation and Amortization	146,408	118,148	54,686
Depreciation	94,156	66,824	50,942
Amortization	52,252	51,324	3,744
Adjusted EBITDA	(281,305)	(236,154)	(212,175)
Total Assets	1,808,977	1,733,776	436,651
Expenditures for Segment Assets	143,390	803,733	94,875
Capital Expenditures	125,362	77,930	76,919
Cash Paid for Acquisitions, Net of Cash Acquired	17,694	725,610	17,956
Acquisitions of Customer Relationships, Customer Inducements and Contract Costs	334	193	0
CORPORATE  AND OTHER | Storage rental
Segment information
Total Revenues	62,227	55,094	63,319
CORPORATE  AND OTHER | Service
Segment information
Total Revenues	$ 261,260	$ 352,240	$ 106,326