Sizu Home › Calculators › Percent Change vs Percentage Points
Opens on Chapter 4’s example: Ines’s white-Christmas forecast, up from 10% to 15%.
Two changes in a row
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How it works
Percentage points are the plain gap between two percentages (15 − 10 = 5). Percent change compares the gap with the start ((15 − 10) ÷ 10 = 50%). A basis point is a hundredth of a point. Changes in a row multiply, so up 50% then down 50% leaves you a quarter below where you began, and undoing a fall takes a bigger rise than the fall.
From the book, Chapter 4. 10% to 15% is 5 points and 50%. 4% to 5% is 100 basis points, a 25% rise. $20,000 up 50% is $30,000, then down 50% is $15,000, 25% below the start, and needs 33.3% to get back. $100 down to $80 needs 25% to recover. Every chapter and its calculator →
Rounding is half up, the way the book rounds. Numbers can be typed as 1,450, $38, 12% or 2.5 million. Everything stays in your browser: no sign-up, nothing stored or sent.