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Segment, Geographic, and Product Line Information - Narrative (Details) | Sep. 30, 2024 underwritingDivision
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Segment Reporting [Abstract] |
Number of underwriting divisions | 4

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- Definition Number Of Underwriting Divisions + References No definition available. + Details
Name: | bow_NumberOfUnderwritingDivisions
Namespace Prefix: | bow_
Data Type: | xbrli:integerItemType
Balance Type: | na
Period Type: | instant

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