Basis Point (BPS) Calculator
Convert basis points to percentages and decimal equivalents instantly, or work in reverse from a percentage to basis points.
How to use this tool
- Enter basis points (bps) and percentage (%) in the fields above.
- Results update instantly as you type — or click Calculate.
- Read your percentage and the full breakdown beneath it.
⚠ This tool provides general estimates for education only and is not financial, tax or legal advice. Figures may not reflect your situation — verify with a qualified professional.
Formula
1 basis point = 0.01% = 0.0001 (decimal)
Percentage = BPS ÷ 100
Decimal = BPS ÷ 10,000
How it works
A basis point (BPS) is one hundredth of one percentage point, commonly used in finance to describe changes in interest rates, bond yields, and other financial instruments where small changes are significant.
Converting from basis points to a percentage simply divides by 100, while converting to a decimal divides by 10,000. The reverse conversions multiply by 100 or 10,000 respectively.
Worked example
Convert 75 Basis Points to Percentage
- Start with 75 basis points.
- Divide by 100 to get percentage: 75 ÷ 100 = 0.75%.
- Divide the percentage by 100 to get decimal: 0.75 ÷ 100 = 0.0075.
75 BPS = 0.75% = 0.0075 decimal.
Common mistakes to avoid
- Saying "10 basis points" when meaning 10% — 10 bps equals only 0.10%, a 100x difference that causes serious errors in bond and loan contexts.
- Forgetting to convert when the base rate itself changes: a move from 2% to 3% is 100 bps, not 1 bps.
- Applying a bps change additively to a percentage that should be compounded, underestimating the true effect on yields over multiple periods.
Key terms
- Basis Point (BPS)
- One hundredth of one percentage point (0.01%), used to describe small changes in interest rates and other financial percentages.
- Percentage
- A ratio expressed as a fraction of 100; for example, 1% equals 0.01 in decimal form.
- Decimal Rate
- The ratio expressed as a pure decimal, equal to the percentage divided by 100.
- Spread
- The difference between two rates, often quoted in basis points (e.g., a spread of 50 BPS = 0.50%).
Frequently asked questions
- Why do finance professionals use basis points instead of percentages?
- Basis points eliminate ambiguity. Saying a rate rose "1%" could mean 1 percentage point (from 5% to 6%) or a 1% relative increase (from 5% to 5.05%). "100 bps" is unambiguous.
- How many basis points is 0.25%?
- 0.25% = 25 basis points. Central banks often move policy rates in increments of 25 bps (one "quarter point").
- Are basis points used outside of interest rates?
- Yes. They appear in fund expense ratios, credit spreads, currency moves, and equity dividend yields — any context where small percentage differences are meaningful.