Monster sizes go from 88% to 122% or 125% of their default size if you don't take event quests into account. Each monster seems to have 3 tiny gold crowns (88%, 89%, and 90%) and 3 large gold crowns, but there are two different large crown thresholds. Pukei-Pukei, Tobi-Kadachi, Anjanath, Radobaan, Deviljho, and Uragaan get a large crown starting at 120% of their average size but all other monsters get it at 123 instead. The monsters with a gold crown starting at 120% have 10 silver crowns (from 110% to 119%) and all other monsters have 8 silver crowns (from 115% to 122%).
This means that if you know what their default size is, you can use the value on your guild card to figure out what kind of crown you have. For example, if you find a Kushala Daora with size 2353.15, you can divide it by the default size (1913.13) to get ~1.23. Kushala has gold crowns at 123%, 124%, and 125%, so you know you have the first possible gold crown and might find the other two sizes later
I've compiled a list of all gold crown thresholds and all possible monster sizes in case you're still looking for crowns and/or want to see what kind of crown you have without having to do any math. Gold crowns cells are highlighted in yellow and silver crowns cells are blue. Here's a link to the spreadsheet. A few of these values might be off by 0.01 due to a rounding issue.
By the way, assignment quests are guaranteed to give you the default size and optional quests can't spawn gold crowns. The only exceptions seem to be the Lunastra special assignments, which always spawn the largest possible Teostra. Low-rank optionals can give you some of the smaller silver crowns and high-rank optionals can give you all silver crowns, but will never give you a gold crown without a mod. By default, gold crowns seem to have a ~3% to ~12% chance of spawning depending on your investigation's size modifier, and you have a 24% chance of getting a tiny or large gold crown in the event quests, which explains why it's so easy to find crowns with them.
If you're on PC, you can use the latest version of the HP overlay mod to show you their sizes (either "real" / guild card sizes or values between 88 and 125), so you pretty much just have to load into a quest to know if any of the monsters there are small or large enough for a gold crown
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