In my opinion, a good first ballpark approximation is that in going from fly sparging to batch sparging you will see about an 8% drop in efficiency, and in going from batch sparging to no sparge you will see another ballpark 8% hit in efficiency.
I do
double batch sparges in a converted cooler mash tun. I strike with about half the total water needed (water/grain ratio of 1.5 qt/lb) and use the other half for the 2 equal sized batch sparges (1/4 of the total volume each). I sparge with hot water.
My last 1.060 batch lautered like this (volumes are approximate):
1st runnings: 3 gallons @ 1.076 (228 pts)
2nd runnings: 2 gallons @ 1.040 (80 pts)
3rd runnings: 2 gallons @ 1.025 (50 pts)
Total: 358 points.
Pre-boil: 358 pts / 7 gallons = 51 points, or 1.051.
Post boil: 358 pts / 6 gallons = 60 points, or 1.060.
Double Batch Sparge:
After draining the last runnings as dry as possible, per pound of (dry) grist, say 0.13 gallons/lb of wort remains trapped. That means 12.5 lbs of grain * 0.13 = 1.625 gallons @ 25 points = 41 points lost (remains in mash tun). A loss of 41 / (358 + 41) = 10.3%. That's still a significant amount.
Fly Sparge:
Using the same amount of grain, a proper fly sparge may give a slightly better mash efficiency but will take twice the time, plus some extra equipment, HLT, false bottom, and whatnot.
Those aside, you fly sparged. Say you reached your pre-boil volume at 1.012 runnings. The minimum amount of wort trapped is the same as above (if lautered/drained dry), 1.625 gallons, but at only half that gravity (1.012 vs. 1.025), so a loss of only around
5% vs. 10.3% with the double batch sparge.
If
not drained dry at the end, just stopped when the pre-boil volume was reached, a typically fly sparged grist remains quite a bit lusher, loftier, retaining more water, say 25% more. The loss would be around
6.25% vs. 10.3% with the double batch sparge.
Full Volume, No-sparge BIAB:
Using the same amount of grain, let's compare the double batch sparge method to a full volume, no-sparge BIAB, dripped out, even squeezed somewhat.
I expect the same amount of wort remains trapped in the grist as in the batch sparge (possibly more). But that's wort at the
full pre-boil gravity of 1.051. If so, you'd lose double the points compared to a 2x batch sparge, 51 pts. vs. 25. That's a 2 * 10.3% =
20.6% loss vs. 10.3% with the double batch sparge. That's very significant!
Whatever sparge you can do in that last scenario, being it a simple pour over/extra squeeze or a full dunk sparge and drip/squeeze, using some withheld strike water will raise your mash efficiency quickly.
Or use 10% more grain...