Multiple State Tax

I moved from TX to KS on Sept 15th (Part-time resident in KS) & worked across state line in MO (Nonresident in Missouri). When I do taxes using TurboTax, for "Missouri taxable income" it is including income earned in TX (before Sept 15th) but adjusts resulting Tax liability by 40% (I guess to accommodate partial year income from MO) . But, when I file KS tax, it asks for "Income Taxed by MO" & should I only include W2 income from MO or Missouri Taxable income (which has TX income included that was earned before Sept 15th )