The basis point calculator helps you express a rate in basis points, percent, and decimal form, or calculate the amount represented by a given number of basis points. One basis point (bps) equals 0.01% or 0.0001 as a decimal, so 100 bps equals 1%.
Use it to compare interest rates, understand investment fees, or translate a small rate difference into a monetary amount.
How to use the basis point calculator
Select an option from the Action menu. The two modes use different inputs.
Convert a rate into basis points and percent
Choose Convert basis points to percents. Despite this option’s name, the conversion input is Decimal Value. The calculator uses that decimal to calculate the Basis Points, Percent, and Permile results.
- Starting with a decimal: enter it directly. For example, 0.012 produces 120 bps and 1.2%.
- Starting with basis points: divide by 10,000 first. For 50 bps, enter 0.005 to get 0.5%.
- Starting with a percentage: divide the percentage number by 100 first. For 2.5%, enter 0.025 to get 250 bps.
Do not enter 5 when you mean 5%. Enter 0.05. A decimal value of 5 represents 500%, or 50,000 bps.
The result labeled Permile means parts per thousand, normally written with the symbol ‰. It equals the decimal value multiplied by 1,000. Although that field displays a % unit, its calculation is per mille, not percent: 0.012 equals 12‰, not 12%.
Calculate X basis points of an amount
- Select Calculate X bps of Y.
- Enter the number of basis points in X.
- Enter the amount to which the rate applies in Y.
- Read the X bps of Y result. It has the same units as Y.
For example, enter X = 30 and Y = 10,000. The result is 30. If Y represents $10,000, then 30 bps of that amount is $30.
Basis points conversion formulas
A basis point is one hundredth of a percentage point. These formulas let you convert between the three common ways of expressing a rate:
| Conversion | Formula | Example |
|---|---|---|
| Basis points to percent | Percentage number = bps ÷ 100 | 75 bps = 0.75% |
| Basis points to decimal | Decimal = bps ÷ 10,000 | 75 bps = 0.0075 |
| Percent to bps | bps = percentage number × 100 | 0.75% = 75 bps |
| Decimal to basis points | bps = decimal × 10,000 | 0.0075 = 75 bps |
In conversion mode, the calculator multiplies your Decimal Value by 10,000 for basis points, by 100 for percent, and by 1,000 for per mille.
To calculate a basis-point amount, it uses:
Amount = (X ÷ 10,000) × Y
For the example above: (30 ÷ 10,000) × $10,000 = 0.003 × $10,000 = $30.
Common basis point values
| Basis points | Percentage | Decimal |
|---|---|---|
| 1 bps | 0.01% | 0.0001 |
| 10 bps | 0.10% | 0.001 |
| 25 bps | 0.25% | 0.0025 |
| 50 bps | 0.50% | 0.005 |
| 100 bps | 1.00% | 0.01 |
| 120 bps | 1.20% | 0.012 |
Basis points versus percentage change
Basis points describe an absolute difference between percentage rates, not the relative percentage change from the starting rate.
If an interest rate rises from 5.00% to 5.25%:
- The increase is 0.25 percentage points.
- That equals 25 basis points.
- The relative increase is 5%, calculated as (5.25 − 5.00) ÷ 5.00 × 100.
To find a rate change in basis points, subtract the old percentage number from the new one, then multiply by 100. A move from 5.25% to 5.00% is −25 bps; the negative sign indicates a decrease.
Basis points are also different from percentiles. A percentile describes a position within a distribution, such as a test-score ranking. It is not another way to express a rate, and this calculator does not calculate percentile ranks.
How to apply your result
- Compare investment fees: a fee difference of 25 bps equals 0.25%. Applied annually to an unchanged $100,000 balance, that is $250 per year. Actual charges depend on the provider’s billing method and the balance used.
- Estimate an interest-rate difference: 50 bps on a constant $200,000 balance equals $1,000 over one year under a simple annual-interest calculation. This is not a loan-payment or total-interest calculation; amortization, compounding, and fees can change the outcome.
- Compare investment returns: returns of 6.40% and 6.10% differ by 30 bps. Compare the same period and fee basis, and consider risk before treating the higher return as preferable.
- Read bond yield changes: a yield rising from 4.20% to 4.35% has increased by 15 bps. That does not mean the bond’s price changed by 0.15%; price sensitivity depends on factors such as duration.
A basis point has no fixed dollar value. Its monetary impact depends on the amount to which it applies and, for interest or recurring fees, the relevant period.
Related conversion tools
- Use the percentage calculator for calculations such as finding a percentage of an amount.
- Use the decimal-to-percent calculator to express a decimal rate as a percentage.
- Use the fraction-to-percent calculator when your starting rate is written as a fraction rather than a decimal.
Build a fee estimator for your website
If your business quotes fees in basis points, Calcopolis lets you build a custom fee calculator so visitors can estimate charges from their account balance and your pricing rules before requesting a quote.