>Is it really most disasters as in more than 50%?

This is an absolute minefield of statistics to get into. 90% of all disasters are influenceable by climate change (not an earthquake or volcanic eruption for example). Of that 90%, almost all are currently exacerbated - either in scope, size, or frequency- by climate change.

The IPCC releases a fairly accessible 20 page summary [0], including high-quality citations, and levels-of-confidence. That document gives a good overview of the scale of this problem. It's not reasonable to say that there are 100% more disasters now than there were before anthropogenic climate change. It is reasonable to say that >50% of natural disasters are noticeably exacerbated by anthropogenic climate change.

[0] https://www.ipcc.ch/report/ar6/wg1/downloads/report/IPCC_AR6...