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Business Segments - Long-Lived Assets By Geographical Location (Details) - USD ($) $ in Thousands | Dec. 31, 2022 | Dec. 31, 2021
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Segment Reporting Information |  |
Long-Lived assets | $ 85,344 | $ 58,222
United States |  |
Segment Reporting Information |  |
Long-Lived assets | 82,846 | 53,527
Canada |  |
Segment Reporting Information |  |
Long-Lived assets | 110 | 2,597
United Kingdom |  |
Segment Reporting Information |  |
Long-Lived assets | 1,533 | 1,668
Other |  |
Segment Reporting Information |  |
Long-Lived assets | $ 855 | $ 430

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- Definition Long-lived assets other than financial instruments, long-term customer relationships of a financial institution, mortgage and other servicing rights, deferred policy acquisition costs, and deferred tax assets. + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 280 -SubTopic 10 -Section 50 -Paragraph 41 -Subparagraph (b) -URI https://asc.fasb.org/extlink&oid=126901519&loc=d3e9038-108599 + Details
Name: | us-gaap_NoncurrentAssets
Namespace Prefix: | us-gaap_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | instant

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- Definition Line items represent financial concepts included in a table. These concepts are used to disclose reportable information associated with domain members defined in one or many axes to the table. + References No definition available. + Details
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Namespace Prefix: | us-gaap_
Data Type: | xbrli:stringItemType
Balance Type: | na
Period Type: | duration

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- Details
Name: | srt_StatementGeographicalAxis=country_US
Namespace Prefix: |
Data Type: | na
Balance Type: |
Period Type: |

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- Details
Name: | srt_StatementGeographicalAxis=country_CA
Namespace Prefix: |
Data Type: | na
Balance Type: |
Period Type: |

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- Details
Name: | srt_StatementGeographicalAxis=country_GB
Namespace Prefix: |
Data Type: | na
Balance Type: |
Period Type: |

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- Details
Name: | srt_StatementGeographicalAxis=fstr_OtherGeographicalLocationsMember
Namespace Prefix: |
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Balance Type: |
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