Am I reaching climax?

Okay so, I know their are different ways to reach an orgasm. So does that mean their are different types of orgasms? 
Typical when I masturbate, it's clitoral and I can feel my muscles contract as I orgasm. 
However, during sex with my partner I typically can not fell them contract unless my clit is stimulated. Yet I get very wet and still feel very good. 
So is it possible I just don't notice the exact moment I cum? Do I not notice when my muscles contract? Do all types of orgasms involve muscles contracting? Any tips on how I can reach a better orgasm without clitoral stimulation ?