Check the printout or PDF of your return; look for the
state filing instruction sheet with the Turbotax logo.
If you owed tax, it will show the payment information and
how you decided to pay.
Read the state payment instructions carefully since most states
cannot be paid from within the TT system and requires additional steps. https://ttlc.intuit.com/questions/1900884-what-are-my-options-for-getting-my-state-refund-or-for-paying-any-state-taxes-i-owe