Monday’s Supreme Court ruling in Sebelius v. Hobby Lobby, in which the court ruled that closely held corporations that have religious objections to providing birth control to employees through benefits programs are free to stop doing so. This verdict has the potential to affect millions of American women who receive contraception through employer-provided healthcare.

As much as 90 percent of companies in America are “closely held,” like Hobby Lobby. (To qualify for this designation, over 50 percent of a company’s outstanding stock must be owned by five or fewer individuals, and the cannot be a personal-service corporation.) While America’s closely held companies aren’t all gigantic corporations, they constitute some 52 percent of the American workforce, and are responsible for an estimated 51 percent of the economic output of the nation’s private sector. (Hobby Lobby and co-plaintiff Mennonite Conestoga Wood Specialties employee approximately 14,000 U.S. workers, and some 50 companies have sued for similar exemptions, reports New York magazine.)

VF Daily has contacted a number of large, closely held companies and inquired whether they would revisit their coverage of birth control given the Hobby Lobby decision. Cargill—which, with $136.7 billion of revenue in 2013, ranks as the largest private American company on Forbes’ 2013 list—said that it “plans to provide the same coverage we have been.” The food-service giant has 143,000 employees in 67 countries; this decision is relevant to their approximately 47,000 American workers.

Publix Super Markets, number eight on Forbes’ list, with $27.48 billion in revenue and 167,500 American employees, also likely won’t change its coverage in the wake of the court’s decision. A representative of the company said that while “our benefits offerings change annually,” “at this time, we do not anticipate any changes due to today’s ruling.”

Representatives for a number of closely held corporations said they did not yet know whether the ruling would affect their benefits coverage.

Chick-fil-A, known for its conservative position on same-sex marriage, declined to comment on the Hobby Lobby case. (At least one conservative group cited Chick-fil-A’s decision to stay closed on Sundays as supposed logical evidence for the Hobby Lobby decision, though selling fast food and providing medical benefits seem like slightly different issues.)

A number of corporations and nonprofits have signaled their intents to either continue their own pending lawsuits in lower courts, or move forward and drop their birth-control coverage given the Hobby Lobby ruling. The Daily Beast has a tally of 46 corporations and 36 nonprofits with pending cases.

Though the court tried to keep its ruling narrow, by restricting the case solely to contraception and private, closely held corporations, this may be the start of many more religious-exception challenges to many other of laws. Justice Ginsburg (joined by her colleagues Elena Kagan, Sonia Sotomayor, and Stephen Breyer) cautioned that “the court . . . has ventured into a minefield” by potentially violating the Constitution’s Establishment Clause.