Intuitive Introduction to Logistic Regression (Understanding the mathematics behind the model)

I've been working with Logistic Regression to fit my data and make good predictions as a beginner. But as soon as I'm done with that I feel empty and the reason for that was simply because I was performing the same task iteratively (i.e. Just fitting and predicting which could get boring because of not understanding what's going on behind the scene). I've always thought of how is the model able to perform the predictions. But then I sat down one day and studied how the Logistic regression can perform its prediction.