Subtract rates to find percentage points

If a hypothetical rate rises from 3% to 4%, it has increased by one percentage point. Subtract the old percentage from the new one: four minus three equals one. This description states the absolute gap between the two rates without comparing that gap to the starting rate.

The relative increase is different. Divide the one-point change by the original 3%, giving approximately 33.33%. Both “one percentage point higher” and “about one-third higher relative to the original rate” describe the example, but simply saying “up 1%” leaves the intended meaning unclear.

Translate the difference into an amount

For a deliberately simple one-year illustration with $1,000 and no compounding or other changes, 3% corresponds to $30 and 4% to $40. The difference is $10. That is one percentage point of $1,000 and a one-third increase compared with the original $30 amount.

This arithmetic example does not quote an available account or explain every interest calculation. It makes the units visible. For a real comparison, timing, fees, changing balances and the way the rate is applied can alter the result.

Read fee comparisons carefully

Suppose an illustrative annual charge falls from 0.50% to 0.30%. The reduction is 0.20 percentage points, or 20 basis points. Relative to the original charge rate, it is a 40% reduction. On an unchanged $2,000 base for the simplified year, the charges would be $10 and $6, a $4 difference.

A large relative percentage can therefore describe a modest cash difference on a small balance. That does not make the saving irrelevant, but the amount helps put the headline into context. Check whether other costs are unchanged before treating the rate reduction as the entire difference.

State the unit in your notes

Label calculations explicitly: percentage-point change, relative percentage change or cash difference. If a document uses basis points, remember that one basis point is one-hundredth of a percentage point. Avoid mixing a decimal such as 0.003 with a displayed percentage of 0.3% without checking the spreadsheet's format.

When a comparison sounds unusually dramatic, reproduce it using the original values. The wording may be accurate but incomplete. Showing both the rate gap and the effect on the same assumed amount usually makes the explanation easier to assess.