The concept of authority is deeply embedded into the military mindset. Authorities define who can make decisions/gives orders as well as who is required to obey those orders. At higher-level organizations, authorities become a key discussion, because without granting the correct authority-levels, key leaders cannot make the decisions that result in necessary action.
Commanders that are given authority over military service members understand the responsibility that they inherit for the well-being of their subordinates and also understand the importance of military discipline and obeying orders.
In Luke 7:1-10, we read about the Roman Centurion whose servant was ill. The Centurion sent some of the elders to ask for Jesus' help but as Jesus approached the house, the Centurion sent another message saying that he wasn't worthy of Jesus' presence but that Jesus only needed to say the word and the servant would be healed.
So what does this all have to do with the Roman Centurion's faith in Jesus? The Centurion understood that Jesus' had authority over all of creation, an aspect that the religious leaders of the day refused to even consider. In fact, the religious leaders would challenge Jesus constantly on whose authority that Jesus spoke and acted on. The Centurion understood that since Jesus had authority over all of creation, Jesus orders would be carried out regardless of whether or not Jesus was physically present.
As I look at my own life, I realize that I still struggle with accepting God's authority over me. Accepting God's Authority means that you required to obey those orders. It means that you give up a certain portion of your individual freedom and submit yourself to someone over you. It is amazing that this Centurion so readily accepted Jesus' authority!