In a medium saucepan, combine the sugar and water.
Cook over medium heat, stirring occasionally until the sugar dissolves and the mixture turns a deep amber color.
Carefully pour the caramel into a round baking dish, swirling to coat the bottom evenly. Let it cool and harden.
Preheat your oven to 350°F (175°C).
In a large bowl, whisk together the sweetened condensed milk, evaporated milk, eggs, vanilla extract, and sugar until well combined.
Gently pour the flan mixture over the cooled caramel in the baking dish.
Place the baking dish in a larger baking pan and add hot water to the larger pan until it reaches halfway up the sides of the flan dish (this creates a water bath).
Bake for 50-60 minutes, or until the flan is set and a knife inserted in the center comes out clean.
Remove the flan from the oven and let it cool completely in the water bath.
Refrigerate for at least 4 hours, or overnight.
To serve, run a knife around the edges of the flan to loosen it, then invert onto a serving plate.
Enjoy your meal!