A male detransitioner wrote some time ago that he thought the percentage was between 60 and 70, but that in any case it seemed to him to be the most common reason for male transitioning.
On the alleged equivalence of gay-Lesbian and trans rights: The former didn't ask for any rights that would affect the lives of others (outside those whose religious beliefs clash with gay and Lesbian rights), the latter requires the removal of the female sex as a group which possesses shared concerns and needs political representation because of those concerns and the very common level of oppression of female people on the basis of sex.
The latter is deeply anti-feminist.
A parable may help: A homeless family needs a house, others in the village chip in with money, labour, and other resources.
This happens once, and the homeless family works hard, gets the house built, and settles down happily.
Then some time later this happens with a second homeless family, and, once again, others help with money, labour etc.
There is, however, a difference. This time the homeless family insists that the bricks for their house must come from the walls of certain of the existing houses. Nothing else is acceptable, no other bricks can be used.
And when the owners of those houses which have slowly disappearing walls complain, they are told off for being bigots who don't want homeless people to have any houses at all.