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Accumulated other comprehensive (loss) income (Tables) | 9 Months Ended
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Sep. 30, 2024
Statement of Comprehensive Income [Abstract] |
Comprehensive income |
| Three months ended September 30, 2024 |  | Nine months ended September 30, 2024
| 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 | $ | 3,420 |  |  | $ | (198,510) |  |  | $ | (195,090) |  |  | $ | 27,853 |  |  | $ | (79,937) |  |  | $ | (52,084) |
Unrealized (losses) gains | (28,748) |  |  | 56,202 |  |  | 27,454 |  |  | (3,116) |  |  | (62,371) |  |  | (65,487) |
Related income tax | 7,172 |  |  | — |  |  | 7,172 |  |  | 776 |  |  | — |  |  | 776 |
| (21,576) |  |  | 56,202 |  |  | 34,626 |  |  | (2,340) |  |  | (62,371) |  |  | (64,711) |
Reclassification into net income | (2,493) |  |  | — |  |  | (2,493) |  |  | (60,679) |  |  | — |  |  | (60,679) |
Related income tax | 623 |  |  | — |  |  | 623 |  |  | 15,140 |  |  | — |  |  | 15,140 |
| (1,870) |  |  | — |  |  | (1,870) |  |  | (45,539) |  |  | — |  |  | (45,539) |
Ending balance | $ | (20,026) |  |  | $ | (142,308) |  |  | $ | (162,334) |  |  | $ | (20,026) |  |  | $ | (142,308) |  |  | $ | (162,334) |
| Three months ended September 30, 2023 |  | Nine 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 tax | 7,046 |  |  | — |  |  | 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) |

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