Burgoyne, left alone, struggled north of Albany, after being engaged with from the colonists. General Arnold was directly engaging with this group, and a colonial army was retreating from Oriskany. This left Burgoyne in a stalemate, making him surrender at Saratoga to Horatio Gates.
This win mattered because it revived the dragging rebel cause, reigniting the soldiers. This caused France and Spain to see the colonies as strong, with France providing necessary aid for the victory.