What percentage of Orthodox Jews believe in gilgul?

I realise exact figures (such as surveys) may not be available, but I would appreciate any rough/impressionistic guesstimates.

As well as the question for Orthodox Judaism as a whole, I’d also be interested to know how it differs between Modern/Centrist Orthodoxy on the one hand, and Traditional Orthodoxy (Hasidic/Haredi) on the other.

I’m not Jewish, but I have an interest in the variety of afterlife beliefs across different religions, and am trying to understand that topic better, which is why I am asking.