IMO, it's a badly formulated question because the type of repair affordable by a service depends on at least (a) the service's diagnostic ability, (b) a mechanic qualification and (c) the service's repair policy (would they be willing to dig deep into the issue to find a failed cheap component easy to replace or they'll just say "engine issues? lets replace the engine as a whole"). All this things combined brings in a situation where all the same breaking takes $$$$ to fix in a one service using process A ("type of auto repair" in your terminology), and it takes $$ to fix in another service using process B.
What should you do then? I'd say you should elaborate first what's the purpose of your interest. What are you going to do with the info? May it's possible to solve in some way with enumerating a possible breakdown points. But generally, if you remember, that repair is a service, not a product, you'll understand why it's hard to compare autoservice A to autoservice B, as well as their prices. Too many hidden vars inside.
Another source says "Most auto repair shops use one of three guides for charges: Chilton's, AllData and Mitchell."
The short answer is searching for the fix on youtube, which will give you an idea how long it should take (and possibly convince you to take on the repair yourself).