It depends on the r value of the virus. A more transmissible virus requires a higher level of population immunity. Most common estimate I've seen for covid is 70-80%
* we are at 20%
* we need to reach 80%
* we have 60% to go
* we got 6% in 22 days
* 60% / 6% in 22 days = 220 days until the country can reopen?
And it'd be similar for who is readily willing to take the vaccine vs. will refuse to ever do so.