Transnational feminism
In the "Oxford Handbook of Transnational Feminist Movements", Valentine Moghadam says that "women have worked together across borders since at least the mid-1800s. (55)" What is now called first wave feminism started in the early twentieth century in the West with a focus on women's suffrage. 
During World War II, the United States government gave women jobs because the war had caused a national shortage of labor. After the war ended, Irene Tinker says (oxford transnational), these jobs were taken away but women were no longer satisfied going back to their previous gender roles. Starting in the 1960s in the United States, second wave feminism emerged, defined by women's organization around "equal right to education, employment, and equal pay for equal work, and on sexual and reproductive rights."
Equality feminism
After the expansion into Europe, the movement stifled its growth until 1920 where the woman suffrage movement occurred, as many women were divided when determining whether or not women were on equal standing with men. This continued until the United Nations Commission on the Status of Women was established in 1946 to secure equal political, economic and educational opportunities for women throughout the world. In 1949, a French Existentialist Simone de Beauvoir published the work "The Second Sex", in which she debunks many of the claims made towards women and fights for gender equality. In 1963 another literature pertaining to equality feminism arose, with Betty Friedan's "The Feminine Mystique" in which she discussed "the problem that has no name", being the widespread unhappiness of women in the 1950s. She uses this information to describe many of the gender inequalities that society has created that has resulted in this unhappiness, such as giving up her psychology career to tend to her children. Using these literatures as a guide feminism once again arose in the United States with the development of the National Organization for Women (NOW) formed in 1966. This organization fought for the removal of all legal and social barriers placed upon women to once again influence true equality between men and women. In 1972 women leaders such as Bella Abzug, Betty Friedan, and Gloria Steinem pushed the Equal Rights Amendment through Congress; however, it fell short of ratification by 1982.