I am creating a data analytics SaaS product, how to price it?

(yeah, I know the market is flooded with such products but I'll try my bit, my product is quite different from the competition, and I am hopeful, so please don't comment about it.)

I am primarily an engineer and have no idea of how these things work. I see a lot of competing products have very similar pricing. Did they just emulate each other? I can't reveal much details about my product, so its alright if you give pointers in the abstract.

How exactly is pricing done for saaas products like data analytics that have potential to make immense profits for the customers?