Quick answer
One basis point is 0.01% or 0.0001. 25 basis points equal 0.25% or 0.0025, and 100 bp equal 1%.
Enter a value and choose the conversion. The calculator returns basis points, percent and decimal.
Related tools: Dew Point Calculator: Dew point from temperature and relative humidity. Point Estimate Calculator: Point estimates of a proportion (MLE, Laplace and Wilson).
How to use the Basis Point Calculator
- Enter value.
- Choose convert: Basis points → percent and Percent → basis points.
- Press Calculate to see the result, and use Reset to start again.
| Input | What to enter | Allowed values |
|---|---|---|
| Value | A number | — |
| Convert | Choose one: Basis points → percent; Percent → basis points | Starts at Basis points → percent |
Formula and method
Formula
1 basis point = 0.01% = 0.0001; percent = bp ÷ 100
IEEE-754 double precision; money shown to cents, rates to 4 decimals. Results are estimates, not financial advice.
A basis point is one hundredth of a percentage point.
Worked examples
These examples are verified: each one is an automated test case that the live calculator must reproduce exactly.
Example 1
Inputs: Value = 25; Convert = Basis points → percent.
| Result | Value |
|---|---|
| Percent | 0.25% |
| Decimal | 0.0025 |
Example 2
Inputs: Value = 1.75; Convert = Percent → basis points.
| Result | Value |
|---|---|
| Basis points | 175 bp |
| Decimal | 0.0175 |
Example 3
Inputs: Value = 100; Convert = Basis points → percent.
| Result | Value |
|---|---|
| Percent | 1% |
| Decimal | 0.01 |
The first line is the headline result (percent). Below it the basis Point Calculator lists decimal, which describe the same case from other angles. IEEE-754 double precision; money shown to cents, rates to 4 decimals. Results are estimates, not financial advice.
Where it is used
Basis points avoid ambiguity when discussing small changes in rates: a rise from 5.00% to 5.25% is 25 bp, not '0.25%' or '0.25 percentage points'. Central bank moves are announced in multiples of 25 bp.
Conversions
bp ÷ 100 = percent; percent × 100 = bp. 50 bp = 0.5%, 150 bp = 1.5%. On a $300,000 mortgage, a 25 bp rate change shifts the monthly payment by about $50.
How the result changes with value
Holding every other input at the first worked example, this table changes only value. It shows how sensitive the answer is to that one value; each row was produced by running this calculator.
| Value | Percent | Decimal |
|---|---|---|
| 12.5 | 0.125% | 0.00125 |
| 25 | 0.25% | 0.0025 |
| 50 | 0.5% | 0.005 |
| 100 | 1% | 0.01 |
What happens with invalid input
These messages are produced by the calculator itself, so you know what to fix.
- Value: left empty shows "Enter value." beside that field and no result.
Choosing between the Basis Point Calculator and similar calculators
Each row shows what a related calculator on this site asks for and what it returns, so you can pick the one that matches your question.
| Calculator | You enter | It returns |
|---|---|---|
| [Dew Point Calculator](/science/dew-point/) | air temperature and relative humidity | Dew point |
| [D&D Point Buy Calculator](/other/point-buy/) | sTR score, dEX score and cON score | Points spent |
| [Point Estimate Calculator](/statistics/point-estimate/) | successes and trials | Sample proportion |
| [Point-Slope Form Calculator](/math/point-slope-form/) | slope, point x₁ and point y₁ | Point-slope form |
| [Inventory Reorder Point Calculator](/business/inventory-reorder-point-calculator/) | average daily demand, lead time and safety stock | Reorder point |
Background: personal finance estimates
Financial calculators project from the numbers you give them. Long-range tools depend on guesses about returns and tax rates that are unlikely to hold exactly, payoff tools assume a fixed payment and rate, and tax or salary results depend on the tax year, filing status and country. Official calculators say their output is for reference only.
For decisions that matter, use conservative inputs and check the figures against your lender, plan documents or a qualified adviser.
Assumptions and limitations
- 100 bp = 1%
Results are estimates for planning, not financial advice. Lender terms, fees, taxes and rounding rules can change real figures, so confirm important numbers with your lender or a licensed adviser.
If a required value is empty, not a number, or outside its allowed range, the form marks that field with a message and shows no result instead of a misleading number. The automated checks deliberately try invalid entries for value to confirm this.
Frequently asked questions
How many bp in 1%?
There are 100 basis points in 1%.
What is 0.5% in bp?
0.5% is 50 basis points, since 1% = 100 bp.
Why not say a quarter point?
Because 'quarter point' can mean 0.25% or 0.25 percentage points; 25 bp states the size exactly.
What does the Basis Point Calculator calculate?
Convert between basis points, percent and decimal. It returns Percent and Decimal.
What formula does the Basis Point Calculator use?
1 basis point = 0.01% = 0.0001; percent = bp ÷ 100. A basis point is one hundredth of a percentage point.
What do I need to enter in the basis Point Calculator?
You enter Value and Convert.
How is the result rounded or limited?
IEEE-754 double precision; money shown to cents, rates to 4 decimals. Results are estimates, not financial advice. 100 bp = 1%.
What does the “Convert” option change?
It sets how the basis Point is worked out. The choices are Basis points → percent and Percent → basis points.
What is an example of a basis Point result?
With value 25 and convert Basis points → percent, the percent is 0.25%.
Can I rely on this calculator for a decision?
Results are estimates for planning, not financial advice. Lender terms, fees, taxes and rounding rules can change real figures, so confirm important numbers with your lender or a licensed adviser. For this calculator in particular: 100 bp = 1%.
Related calculators
- Dew Point Calculator — Dew point from temperature and relative humidity.
- Point Estimate Calculator — Point estimates of a proportion (MLE, Laplace and Wilson).
- Point-Slope Form Calculator — Point-slope and slope-intercept equations of a line.
- Inventory Reorder Point Calculator — Stock level at which to reorder.
- Auto Loan Calculator — Monthly car payment after down payment and trade-in.
Sources
- Standard time-value-of-money relations (e.g. Brealey, Myers & Allen, Principles of Corporate Finance)
Content last reviewed 2026-11-04. Formulas and worked examples are checked by automated tests against independently computed values.