Right, so if you include being made to penetrate (79.2% female perpetrators) as rape (I don't know if you would, but I would) and consider that in the last twelve months before the survey (to account for any changes in society over a generation or more, to asses current risk, and to focus on events clearer in the minds of respondents) the number of female victims of forced penetration/rape and the number of male victims of being made to penetrate was almost identical (from pages 18 and 19 of the report) you have men who've been raped by women about 80 percent as common as women who've been raped by men. Similarly:

For female rape victims, an estimated 99.0% had only male perpetrators. In addition, an estimated 94.7% of female victims of sexual violence other than rape had only male perpetrators. For male victims, the sex of the perpetrator varied by the type of sexual violence experienced. The majority of male rape victims (an estimated 79.3%) had only male perpetrators. For three of the other forms of sexual violence, a majority of male victims had only female perpetrators: being made to penetrate (an estimated 82.6%), sexual coercion (an estimated 80.0%), and unwanted sexual contact (an estimated 54.7%). From 2011, with the number of female rape victims again almost exactly the same as the number of male victims of being made to penetrate.

It's unfortunate that they only have lifetime prevalence numbers for the gender ratios of the perpetrators, of course this doesn't actually tell us the ratio of total perpetrators (it could be that serial rapists are far more common among those of one gender than among those of the other), and I can understand if you're only concerned with the total number of rapists who once raped still living victims even they're more likely to be gone, less of a threat, or remembered less accurately because of how much time has passed over the period considered by lifetime prevalence numbers.

That said, given the above, I hope you'd consider it extremely likely that while the majority of current rapes are committed by men, it's not at all a staggering majority. Maybe something like 60%?