Speaking on the Plumtree Uncut podcast, the former All Blacks flyhalf laid out the philosophy that has guided him through coaching stints in New Zealand, Japan and now South Africa.
"It's always been about trying to find a way to win," Brown said.
"You've got to obviously look at the personnel you've got and work out where your strengths and weaknesses are, then work out a style of game from an attacking point of view that's going to work for those players and that team.
"It's always a challenge, but trying to find ways to win, and trying to inspire the players to play a certain way - that's going to allow us to win more games than we lose; it is always what excites me about being a coach."
That adaptable, player-first approach has become a hallmark of the Springboks' evolution under Rassie Erasmus since Brown joined the coaching staff.
Rather than forcing a foreign style onto a side renowned for its physical dominance, Brown has focused on amplifying existing strengths while expanding the team's attacking options.
When pressed to distil his attacking principles, Brown broke down the essential pillars the Springbok coaching staff have focused on.
"I think you have to be adaptable, but if I was to boil it down to three key things: momentum, speed and space," he explained.
"If you can achieve those three things on the rugby field, you're always going to be quite a dominant rugby team.
"On the defensive side, you've got to obviously stop momentum, stop speed and shut down space. Not losing the gain line is massive.
"Being able to always dominate the gain line creates space for the players to attack.
"And then, if you've got speed and skill, you can do some pretty good things on the rugby field."
South Africa's traditional forward power remains the foundation, but under Brown the side has shown greater intent to convert that platform into space and scoring opportunities out wide.
The equation is straightforward: win the collision, create the space, and then trust the speed and skill of the backs to get points.
South Africa produced a dominant performance to beat Australia by an innings and 31 runs in the second Test at St George's Park in Gqeberha on Thursday, levelling the series at 1-1.
South Africa produced a commanding performance to defeat Australia by an innings and 31 runs in the second Test at St George's Park in Gqeberha, with captain Temba Bavuma leading the way with a magnificent 179.
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