We could have an even higher percentage of women, like we do in many top-notch classical outfits today. There is some history here I'm qualified to speak about as a woman who took many orchestral auditions in classical music. Most of decision makers in classical back in the day asked exactly what you are asking about tech right now. The results were stark. (see study below) My example is not intended to imply that tech is "the same" as classical music or anything--just pointing out a strong similarity in today's tech interviews to the gender/race-biased audition practices of orchestras in the pre-1970s, when it was believed that women/brown candidates were not as strong/accomplished/technically skilled/artistic/confident as their white European male colleagues. Here is a 1974 NYT article about "the change to screened auditions"; the reporter still felt comfortable calling Asian players "Oriental" at that time.
http://www.nytimes.com/1974/10/15/archives/orchestra-auditio...
The Met Orchestra is considered the overall "best orchestra" in the United States. It is a dream job in terms of pay and quality of music making. By best, I mean that winning a job at the met is like being a star player in the majors, more so than in any other orchestra. The Met's auditions are considered by classical players to be the most impartial, although they are still partial. They are the blindest, anyway, in terms of using a screen, if players can make it past the tape round. (that is another issue altogether for another time) Today, more than half of the NY Phil and 50% of the Met orchestra players are women, due to blinder audition practices. Still, most orchestras remove the screen after the first or second round today. (?) I believe the MET waits until the finals to remove the screen. (I didn't make it to the finals, but it is what I hear from players who have)
I believe that tech could learn a great deal from classical music's hiring practice innovations of the 1970s and 80s. Today, most US Orchestras are comprised of at least 50% women, up from none or just a couple in the 1970s. Today, St. Louis is majority female. If anyone in tech is interested, they could dig into this study published in The American Economic Review
http://www.academicroom.com/article/orchestrating-impartiali...