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Contingencies - Additional Information (Detail) - USD ($) $ in Millions | 9 Months Ended |  |  |  |  |  |  |
--- | --- | --- | --- | --- | --- | --- | --- | ---
Sep. 30, 2024 | Aug. 31, 2024 | Jun. 30, 2024 | Mar. 31, 2024 | Dec. 31, 2023 | Dec. 31, 2020 | Sep. 30, 2020 | Dec. 31, 2019
Loss Contingencies [Line Items] |  |  |  |  |  |  |  |
Other assets | $ 352.1 |  |  |  | $ 308.4 |  |  |
Prepaid expenses and other current assets | 244.8 |  |  |  | 237.7 |  |  |
Assessment amount from tax administration service | 16.0 |  |  |  |  |  |  |
Undrawn letters of credit | 143.1 |  |  |  |  |  |  |
Surety bond through insurance company to guarantee payment of tax assessment | 65.0 |  |  |  |  |  |  |
Deductible for product liability insurance | 12.5 |  |  |  |  |  |  |
Surety Bond [Member] |  |  |  |  |  |  |  |
Loss Contingencies [Line Items] |  |  |  |  |  |  |  |
Surety bond through insurance company to guarantee payment of tax assessment | $ 45.0 |  |  |  |  |  |  |
SEC and DOJ Investigation [Member] |  |  |  |  |  |  |  |
Loss Contingencies [Line Items] |  |  |  |  |  |  |  |
Accrued liability |  |  |  |  |  |  | $ 123.0 |
Loss contingency compliance self-reporting obligations term | three-year |  |  |  |  |  |  |
Herbalife International of America, Inc., [Member] | U.S. Federal Trade Commission [Member] |  |  |  |  |  |  |  |
Loss Contingencies [Line Items] |  |  |  |  |  |  |  |
Settlement amount paid for consent order | $ 200.0 |  |  |  |  |  |  |
Third-party monitoring by independent compliance auditor, period | 7 years |  |  |  |  |  |  |
Audit Period Fiscal Year March 31, 2017 [Member] |  |  |  |  |  |  |  |
Loss Contingencies [Line Items] |  |  |  |  |  |  |  |
Assessment amount from tax administration service | $ 17.4 |  |  |  |  |  |  |
Audit Period Fiscal Year March 31 2018 [Member] |  |  |  |  |  |  |  |
Loss Contingencies [Line Items] |  |  |  |  |  |  |  |
Assessment amount from tax administration service | 16.9 |  |  |  |  |  |  |
Audit Period Fiscal Year March 31, 2020 [Member] |  |  |  |  |  |  |  |
Loss Contingencies [Line Items] |  |  |  |  |  |  |  |
Assessment amount from tax administration service | 22.1 |  |  |  |  |  |  |
Audit Period Fiscal Year March 31, 2021 [Member] |  |  |  |  |  |  |  |
Loss Contingencies [Line Items] |  |  |  |  |  |  |  |
Assessment amount from tax administration service | 16.5 |  |  |  |  |  |  |
State of Sao Paulo [Member] | Brazilian I C M S Two Thousand Thirteen [Member] |  |  |  |  |  |  |  |
Loss Contingencies [Line Items] |  |  |  |  |  |  |  |
Assessment amount from tax administration service | 29.6 |  |  |  |  |  |  |
State of Sao Paulo [Member] | Brazilian I C M S Two Thousand Fourteen [Member] |  |  |  |  |  |  |  |
Loss Contingencies [Line Items] |  |  |  |  |  |  |  |
Assessment amount from tax administration service | 11.0 |  |  |  |  |  |  |
Selling, General and Administrative Expenses [Member] | SEC and DOJ Investigation [Member] |  |  |  |  |  |  |  |
Loss Contingencies [Line Items] |  |  |  |  |  |  |  |
Accrued liability |  |  |  |  |  | $ 83.0 |  | $ 40.0
Mexican Tax Administration Service [Member] |  |  |  |  |  |  |  |
Loss Contingencies [Line Items] |  |  |  |  |  |  |  |
Other assets | 17.8 |  |  |  |  |  |  |
Prepaid expenses and other current assets | 10.6 |  |  |  |  |  |  |
Other assets current and non current | 7.2 |  |  |  |  |  |  |
Assessment amount from tax administration service | 22.2 |  |  |  |  |  |  |
Brazilian ICMS [Member] |  |  |  |  |  |  |  |
Loss Contingencies [Line Items] |  |  |  |  |  |  |  |
Assessment amount from tax administration service | 2.9 |  |  |  |  |  |  |
Surety bond through insurance company to guarantee payment of tax assessment | 11.7 | $ 20.0 |  |  |  |  |  |
Brazilian ICMS [Member] | State of Sao Paulo [Member] |  |  |  |  |  |  |  |
Loss Contingencies [Line Items] |  |  |  |  |  |  |  |
Assessment amount from tax administration service |  | $ 11.7 | $ 16.2 | $ 26.9 | $ 42.5 |  |  |
Brazilian ICMS [Member] | State of Rio de Janeiro [Member] |  |  |  |  |  |  |  |
Loss Contingencies [Line Items] |  |  |  |  |  |  |  |
Assessment amount from tax administration service | 6.5 |  |  |  |  |  |  |
Indian VAT Authorities [Member] |  |  |  |  |  |  |  |
Loss Contingencies [Line Items] |  |  |  |  |  |  |  |
Assessment amount from tax administration service | $ 12.3 |  |  |  |  |  |  |

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