I'm a woman manager in a very male dominated field and my firm - certainly not a touchy-feely social justice operation but one of those scary multinationals - has recently introduced quotas for hiring and hard targets for getting women into leadership roles.
Our official line is very much based on economic arguments rather than on feminism or diversity having intrinsic value in a broader sense. In a nutshell, it goes about like this:
Our business depends on attracting the very brightest talent (this part may be somewhat industry specific - but it translates reasonably well IMO), some 50 percent of which, statistically speaking, will consist of women. We also face some extremely stiff competition for these people - other firms need them just as much as we do. The fact that we don't have many women at all and even fewer in senior positions makes us look like a poor work environment for female employees and we're losing on hiring candidates who could otherwise be the future rising stars of this firm.
Studies show (will find link if needed, on mobile at present) that it takes about 30 percent of the total before any minority group will reach a level at which they feel represented and not like the exception. Therefore, we need to heavily invest now to reach at least this share of women employees in order to be able to access this talent pool by default going forward.
The same logic applies to having women in leadership positions. Furthermore, there is a multitude of data to show that more diverse teams outperform homogenous ones at every single level of seniority and in virtually every respect (again, will dig up references on request).
Bottom line, we simply can't afford NOT to have more women in the workforce in general and also in senior roles. It might work now but is threatening to cripple our business going forward.
That's obviously a very abridged version of how we have opted to frame this, but the argument is basically solid. It also has the advantage of appealing to cold, hard economic interests as opposed to some hard to define sentiment of 'justice', which - let's be frank, only ever has intrinsic business value if your client base cares enough (which it won't in this setting; like I said, this is Megacorp Ltd rather than HippieParadise.com).