I'm not a fan of KOP's. But to me I'd think that you'd just figure out where you sit on the previous saddle. Measure from there to the handle bars. Then set where you think you are going to sit on the new saddle to the same distance from the handlebars.
Tilt will be something you eyeball the first time. Adjust after you've tried it out.
Don't forget to check saddle height to the pedal or BB before swapping. I wouldn't expect every saddle to put the rails the same distance from the top of the saddle.