The general rule is: your report all your income on your home state return, even the income earned out of state. You file a non-resident state return for the state you worked in and pay tax to that state. Your home state will give you a credit, or partial credit, for what you paid the non-resident state. You will have to file a non resident PA state return and pay PA tax on the income earned there.
Since FL does not have an income tax, you do not have a resident return to file. So, there will be no offsetting credit for the PA tax paid.
The question you didn't ask is "will PA consider you a resident for tax purposes?" That depends on the circumstances of how and why you are working there but consider yourself a FL resident. See https://www.revenue.pa.gov/FormsandPublications/FormsforIndividuals/PIT/Documents/rev-611.pdf
