This we actually do know quite a bit about, though there are plenty of unknowns. 80+% of cases won't even require Advil. Some percentage, <10%, >5%, will need intensive care. Something between that percentage and about 2% can survive with intensive care. There's also a group who need serious care, but not intensive... but some of them are likely to be in serious trouble if they don't get some significant level of care... maybe IV fluids, etc.
I believe the people needing intensive care required ventilators to help them breath, and those needing serious care required masks with high levels of oxygen to make up for reduced lung efficiency. The sensation is somewhat like drowning for those needing these levels of care.
Most people with the mild symptoms will recover in around 2 weeks. People requiring a hospital visit tend to take 3-6 weeks to get over it.
So, if you know the capacity of the hospitals, the number of ventilators and breathing sets, you can work out how many people can be ill if 10% of them are going to be needing a visit to hospital to see them through. Work out the numbers for your country. When do those numbers overlap, given your current infection numbers and rate of increase?
I have observed the increase in infections for this virus is around 10% a day, even though China has managed to get it under control with a complete lock-down of the worst regions. Infections in the rest of the world should surpass China's infections in around 10 days.