Good news on Equal Pay Day. Men generally get paid more than women whatever their age, but this wage gap is slowly narrowing for millennials.

The gender wage gap is smaller for millennials at all levels of seniority than either Generation Xers or baby boomers, even when adjusted for job choice, experience and hours worked, according to a recent report by Millennial Branding, a branding and consulting firm, and PayScale, a company that collects data on salaries. Millennial women (born roughly between 1981 and 1996) earn 2.2% less than men, but that rises to 3.6% for Gen X and 2.7% for boomers. However, as you climb the ladder and get bigger jobs, men are paid exponentially more. The gender wage gap widens for all generations as responsibility level increases (4.9% for millennial executives, 7.4% for Gen X executives and 6.2% for boomer executives).

“Millennials are all about demanding equality,” says Dan Schawbel, founder of Millennial Branding and WorkplaceTrends.com and author of “Promote Yourself: The New Rules for Career Success.” He says they tend to be more liberal on social issues and are proponents of civil rights from same-sex marriage to equal pay for men and women. “They’re also all about transparency and honesty and are more openly sharing what they’re making than older workers,” he says.

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In general, the White House estimates that women get paid 77 cents on the dollar compared to men, despite the Equal Pay Act of 1963; the gap is even greater for African-American (64 cents on the dollar) and Latina women (56 cents on the dollar). That means women have to work approximately 60 extra days, or about three months, to earn what men did by the end of the previous year, according to the non-profit Pew Research Center. (But those figures don’t adjust for job choice and duration, which all influence pay, says Lydia Frank, a spokeswoman for PayScale. Women dominate fields like education, for example, which aren’t typically high-paying. Men dominate fields like IT, which tend to have high-paying jobs, she says.

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In previous generations, workers were not allowed or willing to talk about how much they were making and were less likely to see if they’re being treated fairly or not.”

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They’re also less likely to stay with a company for security. Over one-quarter of millennials surveyed said that workers should only be expected to stay in a job a year or less versus 17% of Gen Xers and 14% of boomers, while 41% of baby boomers said workers should stay with an employer at least five years before looking for a new job; only 13% of millennials and 29% of Gen X agreed. The survey collected data from 355,504 PayScale millennial users, 523,404 Gen X users and 278,472 baby boomers. (Most Americans stay in their jobs around 4.6 years, according to the Bureau of Labor Statistics.)

However, there’s still a long way to go for equal treatment of both sexes. Most millennials still believe that discrimination against women in the workplace remains a significant problem, according to a study released last month by the nonprofit and nonpartisan Public Religion Research Institute. Millennial women are much more likely than millennial men to agree that women get fewer opportunities than men for good jobs (67% versus 49%, respectively), that women still do not receive equal pay for equal work (72% of women versus 56% of men), and that employers should make special efforts to hire and promote qualified women because of current and past discrimination (68% versus 53%).

Millennials are a growing force in the workplace. There are roughly 89 million millennials (also known as Generation Y) and 75 million boomers (born between 1946 and 1964) in the U.S., compared with just 49 million Gen Xers. And younger workers are also ambitious. Approximately 58% of Gen X men and 41% of women say they want the top job, according to a 2013 survey of 2,000 adults by the Pew Research Center. In contrast, 70% of millennial men and 61% of millennial women — defined by that study as aged 18 to 32 — say they’d like to be boss.

This story was updated from Nov. 19, 2014.