In a large mixing bowl or bowl of a stand mixer, mixi the butter on high speed until creamy and light in color, stopping to scrape down the sides as needed.
Add the ½ cup powdered sugar to the butter and mix on low speed until the sugar is fully incorporated into the batter. Once incorporated, increase the speed to medium, and continue to mix for 2 to 3 minutes, or until the mixture is light and fluffy. Add 1 tablespoon vanilla extract and ½ teaspoon table salt. Mix on low speed to just combine.
Add ½ of the flour to the mixture and mix on low speed to combine. Add the remaining flour and mix again on low speed just until combined.
Add 1 cup finely chopped pecans to the batter and use a wooden spoon or spatula to just incorporate the nuts evenly into the batter.
Scoop out about 1 tablespoon of the cookie dough and shape into it a 1-inch ball. Place it onto an ungreased cookie sheet. Repeat the process until the cookie dough is gone, being sure to space the cookies 2-inches apart on the cookie sheet.
Bake for 12 to 15, or until the cookies are just golden brown on the bottom. Once the cookies are baked, remove them from the oven and let them cool for 1-2 minutes.
Place the remaining powdered sugar into a bowl and roll the warm cookies in the powdered sugar.
Cool the cookies completely and then roll them again in the remaining powdered sugar.
Notes
Nuts: You can substitute chopped walnuts, almonds, or pistachios in place of the pecans, or omit the nuts completely.Storing Cookies: Once fully cooled, store the cookies in an airtight container at room temperature for up to 1 week. Alternatively, freeze in a freezer-safe bag for up to 1 month. Once defrosted, you may want to reroll your cookies in powdered sugar.