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Revenue - Contracts and Liabilities, Narrative (Details) - USD ($) $ in Millions |  | 12 Months Ended
--- | --- | ---
Jan. 01, 2021 | Dec. 31, 2021
Revenue from Contract with Customer [Abstract] |  |
Cash payments received in advance |  | $ 112.3
Revenue recognized during the period | $ 31.8 | $ 72.0

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- References No definition available. + Details
Name: | us-gaap_RevenueFromContractWithCustomerAbstract
Namespace Prefix: | us-gaap_
Data Type: | xbrli:stringItemType
Balance Type: | na
Period Type: | duration

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- Definition Contract With Customer, Liability, Increase (Decrease) Due To Additional Cash Payments + References No definition available. + Details
Name: | wst_ContractWithCustomerLiabilityIncreaseDecreaseDueToAdditionalCashPayments
Namespace Prefix: | wst_
Data Type: | xbrli:monetaryItemType
Balance Type: | credit
Period Type: | duration

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- Definition Contract With Customer, Liability, Revenue Recognized During The Period + References No definition available. + Details
Name: | wst_ContractWithCustomerLiabilityRevenueRecognizedDuringThePeriod
Namespace Prefix: | wst_
Data Type: | xbrli:monetaryItemType
Balance Type: | credit
Period Type: | duration