Buyers skim case studies for three things: a situation like theirs, numbers that moved, and enough process detail to believe it transfers. The structure that converts is problem, approach, measurable outcome, quote, in that order, with the numbers visible before the scroll.
The case study is the highest-leverage page a service business owns, and most are written as company celebrations instead of buyer evidence. The buyer is running one query: is this my situation, and did it measurably improve?
Lead with the numbers. A visitor deciding in eight seconds should hit the outcome figures without scrolling. The narrative earns attention only after the result has.
Details that build belief
Name the constraint that made it hard. Show the intermediate decisions, because process detail is what makes an outcome feel repeatable rather than lucky. Use the client's words for the emotional layer, with permission, and keep metrics defensible: measured windows, stated baselines.
One honest, specific case study outsells ten vague ones, and answer engines quote it too.