Per the following from the City of Detroit instructions to their individual income tax return, only wages earned while working in the city would be taxable there:
![](https://lithium-response-prod.s3.us-west-2.amazonaws.com/turbotax.response.lithium.com/RESPONSEIMAGE/5c5e499c-9fe5-498a-b6ee-6c47b105e564.default.png)
Strike benefits were not specifically mentioned, but one would assume they are not taxable in Detroit since they are associated with wages earned outside of the city in your case.
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