For me it didn't work like that at all... it's not really the sort of thing where you just apply a universal formula and BAM!
For me it was a fairly slow process that involved quite a lot of thought about a lot of things. For me something triggered a series of questions about why we are here, how we are here, what defines us, and so on. I'd got to thinking about the people in prison camps whose lives are totally managed and who own more or less nothing, and how at least some of them retain a sense of identity that transcends anything the guards can take away from them.
When I was thinking about how we got here it seemed there were two conflicting theories - fundamentally either life was designed, or life is the result of a bunch of random events (in other words either it was designed, or it wasn't). Science seems to be constantly trying to create a godless universe but has to keep kicking the can down the alley as one theory hits its limitations. In simplistic terms if life is not designed then we evolved from something and evolution theory can take us back to the first living thing. But then evolution has to hand the baton over to the idea of abiogenesis, which in turn has to explain how the first living thing came alive out of a bunch of things that weren't living. And if abiogenesis can explain how something that wasn't alive spontaneously came alive it still needs to explain how the non-living thing came to be there in the first place. Then there are the so-called "irreducibly complex" systems within living things that make evolution seem less likely, on the basis that such a system would have to develop all at once or it wouldn't work at all. To take simplistic examples, how many spiders died before the first one figured out how to build a web, and how many mammals bled to death while the really very complex system of blood clotting to repair damaged vessels while not clotting in healthy blood vessels evolved?
For good measure I had also been looking at economics and demographics and concluding the economic future is extremely dark. Most people I know who consider themselves pessimistic about the economic future don't like my predictions because they are far more pessimistic still. I don't see how my predictions are avoidable at all, although I desperately wish I did. Anyway, thinking about how to survive an economic meltdown when money becomes worthless overnight, when it's all but impossible to grow crops and when a nomadic existence is necessary just to stay alive, it gets hard to live. As the forces that require such a transition get more and more hostile, so it gets harder and harder to live. As I looked at what was developing in the world around us and comparing it to the Revelation (the last book of the Bible) I could see more and more ways that things could play out. The most obvious one is the mark of the beast where the beast prevents people from buying and selling unless they have the mark. As the global banking system becomes more and more far-reaching, as governments seek to exert ever-more control over financial transactions and make it harder and harder to use cash, it's not difficult to see how the government could exert total financial control over people. If you don't comply with the government, your cash card stops working and at a stroke you can't make or receive payments. As a recent development, since some central banks have recently been experimenting with negative interest rates it's easy to see why people would keep cash in a sock under the bed rather than in a bank that charged them to keep it, and with that in mind it's easy to see why governments would gain from doing away with cash completely.
If we take the first few words of the Bible we see "In the beginning God..." If we focus on those four words alone we have to make a choice. I'll drop the g to lowercase for now because I'm going to use the term "god" to refer to one or more eternal beings, in other words anything that has no beginning counts as "god". So we can conclude either "in the beginning god", or "in the beginning not-god". In other words, either god does exist, or god does not exist. Of the options I found it vastly easier to believe in "god" than in "not-god". From there it was just a question of figuring out what form this god took, and which (if any) of the world's religions had the right concept of god.
So for me the answer to your question was simple - I didn't. For me it came through a totally different process. For you it might be one verse that swings it for you, or it might be the result of months or years of soul-searching and seeking before you find Christ. Certainly there are lots of us here who would be very happy to help you with any questions you have along the way.