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Accumulated other comprehensive (loss) income (Tables)
9 Months Ended
Sep. 30, 2023
Statement of Comprehensive Income [Abstract]  
Comprehensive income
Three months ended September 30, 2023Nine months ended September 30, 2023
Interest
rate cap
agreements
Foreign
currency
translation
adjustments
Accumulated
other
comprehensive
loss
Interest
rate cap
agreements
Foreign
currency
translation
adjustments
Accumulated
other
comprehensive
loss
Beginning balance$85,297 $(92,349)$(7,052)$98,685 $(167,871)$(69,186)
Unrealized gains (losses)9,319 (47,644)(38,325)37,712 27,878 65,590 
Related income tax(2,323)— (2,323)(9,407)— (9,407)
 6,996 (47,644)(40,648)28,305 27,878 56,183 
Reclassification into net income(28,244)— (28,244)(74,475)— (74,475)
Related income tax7,046 — 7,046 18,580 — 18,580 
 (21,198)— (21,198)(55,895)— (55,895)
Ending balance$71,095 $(139,993)$(68,898)$71,095 $(139,993)$(68,898)
Three months ended September 30, 2022Nine months ended September 30, 2022
Interest
rate cap
agreements
Foreign
currency
translation
adjustments
Accumulated
other
comprehensive
loss
Interest
rate cap
agreements
Foreign
currency
translation
adjustments
Accumulated
other
comprehensive
loss
Beginning balance$55,237 $(167,033)$(111,796)$(1,178)$(138,069)$(139,247)
Unrealized gains (losses) 55,045 (66,100)(11,055)127,460 (95,064)32,396 
Related income tax(13,733)— (13,733)(31,800)— (31,800)
 41,312 (66,100)(24,788)95,660 (95,064)596 
Reclassification into net income1,377 — 1,377 4,132 — 4,132 
Related income tax(344)— (344)(1,032)— (1,032)
 1,033 — 1,033 3,100 — 3,100 
Ending balance$97,582 $(233,133)$(135,551)$97,582 $(233,133)$(135,551)