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Shareholders' Equity - Additional information (Details) - shares | Dec. 31, 2022 | May 03, 2022 | May 03, 2019
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Stockholders' Equity Note [Abstract] |  |  |
Number of shares of common stock authorized for buyback (in shares) |  | 7,890,581 |
Remaining number of shares authorized to be repurchased (in shares) | 11,550,677 |  | 4,109,419
Increased number of shares of common stock authorized for buyback |  | 12,000,000 |

X
- Definition Increased number of shares of common stock authorized for buyback. + References No definition available. + Details
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Namespace Prefix: | osk_
Data Type: | xbrli:sharesItemType
Balance Type: | na
Period Type: | instant

X
- Definition The number of shares authorized to be repurchased by an entity's Board of Directors under a stock repurchase plan. + References No definition available. + Details
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Namespace Prefix: | us-gaap_
Data Type: | xbrli:sharesItemType
Balance Type: | na
Period Type: | instant

X
- Definition The remaining number of shares authorized to be repurchased by an entity's Board of Directors under a stock repurchase plan. + References No definition available. + Details
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Namespace Prefix: | us-gaap_
Data Type: | xbrli:sharesItemType
Balance Type: | na
Period Type: | instant

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- References No definition available. + Details
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Namespace Prefix: | us-gaap_
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Balance Type: | na
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