Generously coat a half-sheet pan (or two quarter sheet pans) with butter.
Combine 2 cups (400g) sugar, ½ cup (165g) light corn syrup, ½ cup (165g) dark corn syrup, ½ cup water and ¼ teaspoon salt in a saucepan. Cook over medium heat, stirring, until sugar has dissolved, 3–5 minutes.
Bring mixture to a boil (this will take 5–8 minutes), add 1 cup (226g) butter and cook, stirring frequently until mixture reaches 280ºF (138ºC) (soft crack stage), 15–20 minutes.
Stir in 3 cups (410g) peanuts and continue to cook until mixture reaches 305ºF (151ºC) (hard crack stage), about 10 minutes.
Off heat, stir in 1 teaspoon vanilla and 1 teaspoon baking soda and stir quickly (mixture will foam). Immediately pour mixture into prepared sheets, dividing evenly.
Using a greased spatula, press brittle into an even layer.
Sprinkle brittle lightly with additional kosher salt.
Let brittle cool completely then break into pieces. Store in an airtight container at room temperature for up to 1 month.