Women attribute their success to working hard, luck, and help from other people. Men will attribute that - whatever success they have, that same success - to their own core skills.

This quote is saying that when women achieve success, they are quick to recognize the different factors that had a part in getting them there, such as hard work, luck, and the help of other people. In contrast, men tend to attribute any success they have to their individual skills or ability, rather than to outside factors.