The process, known as the Calvin cycle, uses products of the light-dependent reactions (ATP and NADPH) and various enzymes. Therefore, the light-independent reaction cannot happen without the light-dependent reaction.
Sugars made in the light-independent reactions are moved around the plant (translocation). This takes place in the grana region of the chloroplast. It is anaerobic (does not use oxygen).
The Calvin cycle
A sugar (Ribulose biphosphate or RuBP) made of 5 carbon atoms combines with carbon dioxide to form a 6-carbon sugar (phosphoglycerate). An enzyme called RuBisCO speeds this reaction up.
Phosphoglycerate is reduced with hydrogen atoms from the light-dependent reaction to form two molecules of triose phosphate (each has 3 carbon atoms). ATP is needed for this to occur.
Some triose phosphate is converted (using ATP) back into Ribulose Biphosphate (which is why this is called a cycle).
The rest left over is used to produce glucose.
The sum of reactions in the Calvin cycle is the following: