Potassium permangnate is prepared by fusion of MnO2 with an alkali metal hydroxide and an oxidising agent like KNO3. This produces the dark green k2MnO4 which disproportionates in a neutral or acidic solution to give permanganate.
2MnO2 + 4 KOH + O2 → 2K2MnO4 + 2H2O
3MnO42- + 4H+ → 2MnO4- + MnO2 + 2H2O
Commercially it is prepared by the alkaline oxidative fusion of MnO2 followed by the electrolytic oxidation of manganate (VI)

In laboralory a manganese (II) ion salt is oxidised by peroxidisulphate to permanganate.
2Mn2+ + 5S2O82- + 8H2O → 2MnO4– + 10SO42- + 16H+
(i) 5Fe2+ + MnO4– + 8H+ → Mn2+ + 4H2O + 5Fe37
(ii) 2MnO42+ 10SO2 + 5O2 + 4H2O → 2Mn2+ + 10SO42- + 8H+
(iii) 5C2O42- + 2MnO4– + 16H+ → 2Mn2+ + 8H2O + 10CO2