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Accumulated other comprehensive (loss) income (Tables)
3 Months Ended
Mar. 31, 2023
Statement of Comprehensive Income [Abstract]  
Comprehensive income
Three months ended March 31, 2023Three months ended March 31, 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$98,685 $(167,871)$(69,186)$(1,178)$(138,069)$(139,247)
Unrealized (losses) gains(4,716)33,561 28,845 54,806 62,212 117,018 
Related income tax1,177 — 1,177 (13,674)— (13,674)
 (3,539)33,561 30,022 41,132 62,212 103,344 
Reclassification into net income(20,975)— (20,975)1,377 — 1,377 
Related income tax5,233 — 5,233 (344)— (344)
 (15,742)— (15,742)1,033 — 1,033 
Ending balance$79,404 $(134,310)$(54,906)$40,987 $(75,857)$(34,870)