It actually much less than that. Here's an excerpt from a well known sociologist on the topic. Feel free to "keep the receipts".
"
How common are false allegations of rape or sexual assault?
One commonly cited figure holds that 5 percent of rape allegations are found to be false, but that figure paints a very incomplete picture, says Belknap. Typically,
this figure comes from studies done on college students, an estimated
95 percent of whom do not report their assaults to police. Overall, an estimated 8 to 10 percent of women are thought to report their rapes to the police, which means that — at the very highest — we can infer that 90 percent of rapes go unreported, says Belknap. Obviously, only those rapes that are reported in the first place can be considered falsely reported, so that 5 percent figure only applies to 10 percent (at most) of rapes that occur. This puts the actual false allegation figure closer to 0.5 percent.
Of course, these figures are estimates, and Belknap doesn’t doubt they’re imperfect — we can’t count what isn’t being counted. But her research suggests that, if anything, we underestimate the number of rapes that go unreported."