Chill your ice cream maker's canister in the freezer. Combine yogurt, sugar, vanilla, and salt in large bowl. Mix with hand mixer on medium speed until incorporated.
Puree 1/2 bag of mango in the blender. Pour mango puree into yogurt mixture and blend together with hand mixer. Repeat with second half of mango. Switch hand mixer speed to high and mix for 30 seconds more, until fully combined and a bit fluffy. Cover bowl with plastic wrap and chill in refrigerator for one hour.
Freeze in ice cream maker according to manufacturer's instructions. This usually takes about 25 minutes in an electric ice cream maker. Serve immediately or scoop into pint containers and store in the freezer. If freezing, thaw ten minutes before eating.