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Segment Information - Segment Reporting Information by Segment (Details) - USD ($)
$ in Thousands
 3 Months Ended
Mar. 31, 2018
Mar. 31, 2017
Dec. 31, 2017
Segment information      
Total Revenues $ 1,042,458 $ 938,876  
Storage rental 651,149 572,279  
Service 391,309 366,597  
Depreciation and Amortization 160,578 124,707  
Depreciation 113,432 99,592  
Amortization 47,146 25,115  
Adjusted EBITDA 343,015 292,574  
Assets 11,998,149 9,672,134 $ 10,972,402
Expenditures for Segment Assets 1,542,625 106,792  
Capital Expenditures 95,605 73,202  
Cash Paid for Acquisitions, Net of Cash Acquired 1,428,974 12,187  
Payments to Acquire Customer Relationships, Customer Inducements and Contract Fulfillment Costs 18,046    
Acquisitions of customer relationships and customer inducements 18,046 21,403  
North American Records and Information Management business      
Segment information      
Total Revenues 526,843 507,597  
Storage rental 304,819 298,183  
Service 222,024 209,414  
Depreciation and Amortization 62,752 60,535  
Depreciation 49,138 51,952  
Amortization 13,614 8,583  
Adjusted EBITDA 225,738 209,530  
Assets 5,030,238 5,016,658  
Expenditures for Segment Assets 43,181 51,888  
Capital Expenditures 29,870 26,578  
Cash Paid for Acquisitions, Net of Cash Acquired 1,551 4,379  
Payments to Acquire Customer Relationships, Customer Inducements and Contract Fulfillment Costs 11,760    
Acquisitions of customer relationships and customer inducements   20,931  
North American Data Management Business      
Segment information      
Total Revenues 99,964 100,834  
Storage rental 69,246 68,824  
Service 30,718 32,010  
Depreciation and Amortization 10,104 8,251  
Depreciation 8,023 6,063  
Amortization 2,081 2,188  
Adjusted EBITDA 53,852 55,270  
Assets 833,690 828,760  
Expenditures for Segment Assets 6,853 7,906  
Capital Expenditures 6,853 7,906  
Cash Paid for Acquisitions, Net of Cash Acquired 0 0  
Payments to Acquire Customer Relationships, Customer Inducements and Contract Fulfillment Costs 0    
Acquisitions of customer relationships and customer inducements   0  
Western European Business      
Segment information      
Total Revenues 136,872 120,072  
Storage rental 83,952 71,567  
Service 52,920 48,505  
Depreciation and Amortization 17,770 14,297  
Depreciation 12,905 10,888  
Amortization 4,865 3,409  
Adjusted EBITDA 44,082 34,142  
Assets 929,402 918,246  
Expenditures for Segment Assets 7,584 5,025  
Capital Expenditures 6,151 4,898  
Cash Paid for Acquisitions, Net of Cash Acquired 0 0  
Payments to Acquire Customer Relationships, Customer Inducements and Contract Fulfillment Costs 1,433    
Acquisitions of customer relationships and customer inducements   127  
Other International Business      
Segment information      
Total Revenues 207,970 189,241  
Storage rental 131,747 117,615  
Service 76,223 71,626  
Depreciation and Amortization 31,659 27,676  
Depreciation 18,917 19,305  
Amortization 12,742 8,371  
Adjusted EBITDA 60,631 55,347  
Assets 2,429,438 2,133,593  
Expenditures for Segment Assets 32,056 18,620  
Capital Expenditures 25,038 12,467  
Cash Paid for Acquisitions, Net of Cash Acquired 3,208 5,808  
Payments to Acquire Customer Relationships, Customer Inducements and Contract Fulfillment Costs 3,810    
Acquisitions of customer relationships and customer inducements   345  
Global Data Center Business [Member]      
Segment information      
Total Revenues 46,603 6,223  
Storage rental 45,495 5,858  
Service 1,108 365  
Depreciation and Amortization 22,268 1,424  
Depreciation 11,380 1,360  
Amortization 10,888 64  
Adjusted EBITDA 20,790 1,506  
Assets 1,875,766 186,440  
Expenditures for Segment Assets 1,438,012 8,895  
Capital Expenditures 13,111 8,895  
Cash Paid for Acquisitions, Net of Cash Acquired 1,424,215 0  
Payments to Acquire Customer Relationships, Customer Inducements and Contract Fulfillment Costs 686    
Acquisitions of customer relationships and customer inducements   0  
Corporate and Other      
Segment information      
Total Revenues 24,206 14,909  
Storage rental 15,890 10,232  
Service 8,316 4,677  
Depreciation and Amortization 16,025 12,524  
Depreciation 13,069 10,024  
Amortization 2,956 2,500  
Adjusted EBITDA (62,078) (63,221)  
Assets 899,615 588,437  
Expenditures for Segment Assets 14,939 14,458  
Capital Expenditures 14,582 12,458  
Cash Paid for Acquisitions, Net of Cash Acquired 0 2,000  
Payments to Acquire Customer Relationships, Customer Inducements and Contract Fulfillment Costs $ 357    
Acquisitions of customer relationships and customer inducements   $ 0