Once we know something, it becomes hard to imagine what it feels like not to know it.
More quotes£1 a day: trivial. £365 a year: absolutely not. Same money. Different emotional department.
Numbers do not arrive naked; somebody chooses the outfit. Per day invites comparison with a coffee. Per year invites comparison with a weekend away. Five minutes saved sounds pathetic until it is multiplied across 600 employees and 240 working days. Twelve per cent is abstract; 1,200 people in a room are inconveniently visible.
Marketers sometimes talk about this as though the right denominator were a magic trick performed on gullible customers. That is too smug. Every scale reveals something and conceals something. Monthly software pricing helps a buyer compare recurring tools. It can also make a three-year commitment look like loose change. A charity can turn a microscopic percentage into a human number worth caring about. A risk campaign can use the same move to inflate a rare danger until everyone imagines bodies on the carpet. My rule is to choose the unit that matches the decision, then show its inconvenient twin. If payment is annual, say so beside the monthly equivalent. If a time saving compounds, do the multiplication and expose the assumptions. If a risk sounds frightening as “one in a thousand”, show the percentage too.
Changing the denominator leaves the fact intact while deciding which part the brain feels. Anyone presenting a number should admit that power; anyone buying should reach for a calculator.