Generally the well performed studies put the rate of false allegations between 9% and 60%. These are based on different metrics, but all looking at cases where the allegation was demonstrably false. The general consensus is that false allegations occur in about 35%-45%. And these are only looking at numbers of false allegations actually reported to police. The allegations of rape that occur where someone doesn't go to the police are more difficult to study, but I would guess a much higher percent of those cases are false. I have personally been in this situation where a consensual drunken night turned into alleged rape and the girl tried to turn all my friends against me. Luckily everyone at the party knew it was clearly consensual, so I want that damaged, but it isn't always the case, I also have 3 other friends that have been falsely accused but not reported to police.

These cases of demonstably false allegations also don't include the "grey area" rape allegations. Those cases where a woman got drunk and had sex then reports it at rape, or other such allegations where sex occured but consent is he said/she said. Those actually make up the vast majority of rape allegations and, thank god, are rarely prosecuted except when a prosecutor wants to get their name in the paper. The fact is that when you take false allegations and these grey area rapes you are looking at a substantial majority of rape allegations that are unfounded, and yet the push by feminists is that "women don't lie about rape" and people like the OP that don't believe false rape allegations are common. They scream that anyone that discusses false allegations is a misogynist and a MRA crazy, as if being an MRA was an insult.