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Subsequent events - Stock-based Compensation - Narrative (Details) - USD ($) $ in Millions |  | 1 Months Ended | 3 Months Ended | 6 Months Ended
--- | --- | --- | --- | ---
Jul. 26, 2024 | Jul. 25, 2024 | Jun. 30, 2024 | Jun. 30, 2023 | Jun. 30, 2024 | Jun. 30, 2023
BGLH Restricted Class B Units |  |  |  |  |  |
Subsequent Event [Line Items] |  |  |  |  |  |
Awards granted in 2024 (in shares) |  |  |  |  | 31,088 |
Stock-based compensation expense |  |  | $ 3 | $ 3 | $ 6 | $ 6
Subsequent Event | IPO Stock Payment Awards |  |  |  |  |  |
Subsequent Event [Line Items] |  |  |  |  |  |
Awards granted in 2024 (in shares) | 215,149 |  |  |  |  |
Subsequent Event | LVCP Units |  |  |  |  |  |
Subsequent Event [Line Items] |  |  |  |  |  |
Awards granted in 2024 (in shares) | 179,838 |  |  |  |  |
Subsequent Event | Long-Term Incentive Plan Units |  |  |  |  |  |
Subsequent Event [Line Items] |  |  |  |  |  |
Awards granted in 2024 (in shares) | 498,691 |  |  |  |  |
Subsequent Event | BGLH Restricted Class B Units |  |  |  |  |  |
Subsequent Event [Line Items] |  |  |  |  |  |
Share-based payment arrangement, accelerated cost | $ 5 |  |  |  |  |
Subsequent Event | LLH Value Creation Unit Plan Units |  |  |  |  |  |
Subsequent Event [Line Items] |  |  |  |  |  |
Stock-based compensation expense | $ 26 | $ 0 |  |  |  |
Pre-IPO Incentive Award Plan |  |  |  |  |  |
Subsequent Event [Line Items] |  |  |  |  |  |
Shares authorized (in shares) |  |  | 1,000,000 |  | 1,000,000 |
Pre-IPO Incentive Award Plan | Subsequent Event |  |  |  |  |  |
Subsequent Event [Line Items] |  |  |  |  |  |
Shares authorized (in shares) | 12,500,000 |  |  |  |  |
LHH Value Creation Plan | Subsequent Event | Restricted Stock Units (RSUs) |  |  |  |  |  |
Subsequent Event [Line Items] |  |  |  |  |  |
Awards granted in 2024 (in shares) | 654,690 |  |  |  |  |
Equity Award Program | Subsequent Event | Restricted Stock Units (RSUs) |  |  |  |  |  |
Subsequent Event [Line Items] |  |  |  |  |  |
Awards granted in 2024 (in shares) | 291,511 |  |  |  |  |
Management Profit Interest Class C Unit Replacement Plan | Subsequent Event | Restricted Stock Units And LTIP Units |  |  |  |  |  |
Subsequent Event [Line Items] |  |  |  |  |  |
Awards granted in 2024 (in shares) | 1,066,763 |  |  |  |  |

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- Definition Amount of expense for award under share-based payment arrangement. Excludes amount capitalized. + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Topic 718 -SubTopic 10 -Name Accounting Standards Codification -Section S99 -Paragraph 1 -Subparagraph (SAB Topic 14.F) -Publisher FASB -URI https://asc.fasb.org/1943274/2147479830/718-10-S99-1 Reference 2: http://www.xbrl.org/2003/role/disclosureRef -Topic 718 -SubTopic 10 -Name Accounting Standards Codification -Section 50 -Paragraph 2 -Subparagraph (h)(1)(i) -Publisher FASB -URI https://asc.fasb.org/1943274/2147480429/718-10-50-2 + Details
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- Definition The number of grants made during the period on other than stock (or unit) option plans (for example, phantom stock or unit plan, stock or unit appreciation rights plan, performance target plan). + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Topic 718 -SubTopic 10 -Name Accounting Standards Codification -Section 50 -Paragraph 2 -Subparagraph (c)(2)(iii)(01) -Publisher FASB -URI https://asc.fasb.org/1943274/2147480429/718-10-50-2 + Details
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