The Missouri Property Tax Credit allows eligible taxpayers to claim up to $750 if they pay rent or $1,100 if they pay real estate tax on the home they own and occupy. If you rent from a facility that does not pay property taxes, you are not eligible for a Property Tax Credit.
The amount will be calculated on Line 14 of the Missouri Form MO-PTS (Property Tax Credit Schedule) and then carry to Line 40 of the MO-1040 tax return. TurboTax will ask you the appropriate questions for this credit in the state interview section, determine your eligibility, and make the calculation for you.
Here is a link to the Missouri Dept of Revenue web page which discusses all aspects of the credit:
Credit