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Case Math Playbook

The eight main calculations cases actually use: what each one is, the formula, when to reach for it, and the traps that catch people.

13 minute read

Case math is not hard math. It's arithmetic under pressure, out loud, with someone watching. And here's the thing that reframes all of it: knowing WHAT to calculate and what the result MEANS is worth more than the arithmetic itself. Interviewers forgive a slightly rounded number delivered with a clear setup and a sharp interpretation. They don't forgive a perfectly computed answer to the wrong question.

The 8 main calculations

1. Percentage change

What it is: how much a number grew or shrank, relative to where it started.

The formula: % change = (new − old) ÷ old. Revenue went from $80M to $92M: 12 ÷ 80 = 15%.

When to use it: any "grew by / fell by" statement, growth rates off an exhibit, and the reverse version: "revenue fell 20% to $48M, what was it before?" Old = new ÷ (1 − 20%) = 48 ÷ 0.8 = $60M.

Traps: reversing by multiplying (48 × 1.2 is wrong; divide by 0.8). And percentage POINTS vs. percent: a margin going from 10% to 12% is up 2 points, which is a 20% increase. Say which one you mean.

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