The Math the DMG Actually Uses
Encounter balancing in 5e is a real algorithm, published in the 2014 Dungeon Master's Guide — most tools just hide it. This calculator shows every intermediate number: the party's summed XP thresholds, the raw monster XP, the count-based encounter multiplier, and the adjusted total that decides the easy/medium/hard/deadly verdict. Seeing the pieces is what teaches you to eyeball encounters without a tool — the mark of a practiced DM.
The multiplier is the step everyone forgets, and it's the one that kills parties. Eight orcs are “only” 800 XP on paper, but at ×2.5 they adjust to 2,000 — a deadly encounter for a 4th-level party that a naive XP sum calls hard. The reverse trap: one big monster with no allies takes no multiplier at all, which is why lone bosses famously underperform. Give the dragon two guards and the same XP suddenly plays a full band harder.
XP Thresholds and the Adventuring Day
Both tables below are generated from the same data the calculator runs on — the complete 2014 DMG numbers for every level and every challenge rating. The daily budget column is the DMG's answer to “how many encounters make a dungeon?”: roughly six to eight medium-to-hard fights, or fewer bigger ones, before the party needs a long rest.
