Ok so the crucial points from above:
1. We assume that our opponent goes all in for the purposes of calculating the required equity needed (even if it's a game where going all in is not possible)
2. We can use pot odds to calculate how much equity we need given the assumption above
So now lets do 1 more example: say the pot is 1 and we have 4 chips and our opponent has 4 chips.
Our SPR here is 4.
Now we can figure out the equity needed for a spr of 4 by using pot odds.
Our opponent bets 4 and there's 1 in the pot.
Pot odds for spr of 4:
percentage equity required = 4/(4+5) = 4/9 = 44.4%
See how the 1 in the pot works here?
Ok lets make it more general say there is 1 in the pot and our opponent goes all in for x and we have them covered.
our spr here is x.
Pot odds for spr of x:
percentage equity required = x/(x+(1+x)) = x/(2x+1)
so we can work out from this how much we need with a spr of x using this.
So using our formula here for spr of 6:
x = 6
percentage equity required = x / (2x +1 ) = 6 / (2*6 +1 ) = 6 /13 = 46.2%
You can do this for whatever spr, x, you want!
Hope this helps!
AWESOME stuff, thanks for posting!