States will receive more than $9 in federal money for every $1 they spend to cover low-income residents under President Barack Obama’s health care law, according to a nonpartisan analysis released Monday.

Expanding Medicaid to cover about 20 million more low-income people will cost more than $1 trillion nationally from 2013 to 2022, said the joint report from the Kaiser Family Foundation and the Urban Institute. But the analysis found that states will pay just $76 billion of that, a combined share of roughly 7 percent. The feds will pay the other $952 billion.

Republican governors have resisted the Medicaid expansion, saying it adds an unacceptable burden to already strained budgets. And the Supreme Court handed the governors a victory this summer, ruling that states are free to reject the Medicaid deal.