You can check on the payment info you entered on the “Filing Instructions” page of your return (as discussed in this older but still accurate thread), or in Part V of your state “Information Worksheet.”
Note that if you haven’t printed or saved a pdf copy, you have to use the “Add a State” link (at the Tax Home after signing in, even though you’re not actually adding a state...) to get back into the return and access the Print Center. Of course, if you’re using the desktop (downloadable) version of TurboTax, you can just go to “Forms Mode.”
If you didn’t set up a direct-debit (and don’t want to mail a paper check with a voucher which TurboTax will print), your other options vary according to your state. This chart has links to all the Departments of Revenue, and most make the payment info pretty easy to find (since they like getting our money!).
@willard714, be sure to re-post here if you’re not finding any of these things...
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