When two or more triggered abilities attempt to go on the stack at the same time they go on APNAP order. This stands for Active Player, Non-active Player. It means that those triggers that are controlled by the active player go on the stack in whatever order he or she wants, followed by those triggered abilities that are controlled by the non-active player in whatever order he or she wants. As items on the top of the stack resolve first, the triggered abilities controlled by the non-active player will resolve first.
In many cases the order that triggered abilities go on the stack and resolve does not matter and these triggers can be dealt with in a somewhat out of order fashion. All that matters is that they are all legally resolved and the game state is not ‘harmed’ by taking shortcuts.
However sometimes the order that triggered abilities go on the stack DOES matter, and it is important that both players make sure the game is progressing legally. For example, if an attacking creature equipped with a Sword of Feast and Famine deals combat damage to a player that controls Contested War Zone there are two triggers that have to go on the stack. As the controller of the attacking creature is obviously the active player, the trigger from the Sword of Feast and Famine will go on the stack first followed by the Contested War Zone trigger. The Contested War Zone trigger will resolve first causing the active player to gain control of that land. Then when the Sword of Feast and Famine ability resolves the Contested War Zone will untap, as it is controlled by a different player at this point.