There's pages of math about it all over the place, but its A. super confusing and B. stop doing math when shooting.
To do it manually, if I remember right, it was simplified to this:
- Figure out your corrections to target (elevation and wind) in the system your reticle uses
- Figure out your distance to loophole (LRF or you still carry that roll up measuring tape with you, right?)
- Dial your elevation
- Reference where the bullet is above the barrel (in the system your reticle uses) when it reaches the loophole distance at your dialed elevation/ballistic solution to target's elevation. Do the same for wind (in 90% of the times, your loophole is close to you so this part wont matter).
- Put your reticle on target. Bracket it for the correct wind call via your reticle subtensions.
- Hold the reticle center on the target and bracket left/right for wind. Now look on your reticle; do your two reference 'points' (one for elevation, one for wind) clear the loophole? If yes, GTG. If no, you need to increase/descrease distance to loophole and/or find a different one that is higher/lower/bigger, etc.