Important Note : This calculator converts percentage-rate units and estimates the money value of a basis-point change. It does not calculate loan payments, bond price sensitivity, APR/APY, duration, taxes, fees, or final investment performance.

Use this Basis Point (BPS) Calculator to convert between basis points, percent, decimal value, and permille. You can also calculate how much a basis-point change is worth on a specific amount, which is useful for interest rates, yields, fees, spreads, loans, investments, and financial comparisons.

Reviewed by: AjaxCalculators Editorial Team
Last updated: April 26, 2026
Method source: Standard basis-point conversion relationships where 1 basis point equals 0.01%, 0.0001 decimal, and 0.1 permille
Editorial standards: AjaxCalculators Editorial Policy

What This Basis Point (BPS) Calculator Calculates

This calculator estimates and converts:

• Decimal value
• Percent (%)
• Permille (‰)
• Basis points (bps)
• Change amount from a basis-point change
• Summary of the conversion
• Step-by-step calculation

The live tool lets you enter a value as a decimal, percent, permille, or basis points. It also includes a separate section for calculating what a given number of basis points is worth on a money amount.

What Is a Basis Point?

A basis point, often shortened to bp or bps, is one-hundredth of one percentage point.

1 basis point = 0.01%

100 basis points = 1%

Basis points are commonly used in finance because they make small percentage changes easier to describe. For example, saying an interest rate increased by 25 basis points is clearer than saying it increased by 0.25 percentage points.

How the Basis Point (BPS) Calculator Works

1) Basis Points to Percent

To convert basis points to percent, divide by 100.

Percent = basis points ÷ 100

For example:

150 bps ÷ 100 = 1.5%

2) Percent to Basis Points

To convert percent to basis points, multiply by 100.

Basis points = percent × 100

For example:

2.25% × 100 = 225 bps

3) Basis Points to Decimal

To convert basis points to decimal form, divide by 10,000.

Decimal = basis points ÷ 10,000

For example:

75 bps ÷ 10,000 = 0.0075

4) Decimal to Basis Points

To convert a decimal value to basis points, multiply by 10,000.

Basis points = decimal × 10,000

For example:

0.015 × 10,000 = 150 bps

5) Basis Points to Permille

Permille means parts per thousand. Since 1 basis point equals 0.0001 in decimal form and 1 permille equals 0.001, the conversion is:

Permille = basis points ÷ 10

For example:

150 bps ÷ 10 = 15‰

6) Basis Point Change Amount

The calculator can also estimate how much a basis-point change is worth on a money amount.

Change amount = amount × (basis points ÷ 10,000)

For example, 25 bps of $10,000 is:

10,000 × (25 ÷ 10,000) = $25

Basis Point Conversion Table

Basis Points	Percent	Decimal	Permille
1 bps	0.01%	0.0001	0.1‰
10 bps	0.10%	0.001	1‰
25 bps	0.25%	0.0025	2.5‰
50 bps	0.50%	0.005	5‰
100 bps	1.00%	0.01	10‰
250 bps	2.50%	0.025	25‰

Why Basis Points Are Useful

Basis points help avoid confusion when discussing changes in percentages.

For example, if an interest rate moves from 5.00% to 5.25%, the change is:

5.25% − 5.00% = 0.25 percentage points = 25 basis points

This is different from saying the rate increased by 25% relative to its old value. Basis points make it clear that the change is an absolute percentage-point change.

Common Uses of Basis Points

• interest rate changes
• mortgage rate changes
• bond yields
• central bank rate decisions
• loan spreads
• credit spreads
• investment management fees
• bank fees and financial product charges
• APR and APY comparisons

Assumptions and Important Notes

• This calculator performs unit conversion between decimal, percent, permille, and basis points.
• It assumes 1 basis point equals 0.01 percentage points.
• The change amount is calculated as amount × bps ÷ 10,000.
• The calculator does not calculate loan payments, bond prices, interest accrual, APR, APY, or investment returns by itself.
• For loans, the real dollar impact of a rate change depends on balance, payment schedule, compounding, term, and repayment structure.
• For bonds, the price impact of basis-point changes depends on duration, convexity, yield curve movement, coupon, and maturity.
• For investments, basis-point fees may affect returns over time, especially when fees compound year after year.

Worked Example: Convert BPS to Percent

Suppose a rate increases by 75 basis points.

Step 1: Use the conversion formula
Percent = basis points ÷ 100

Step 2: Insert the value
Percent = 75 ÷ 100

Step 3: Calculate
Percent = 0.75%

So, 75 basis points equals 0.75 percentage points.

Worked Example: Convert Percent to BPS

Suppose an interest rate changes by 1.25%.

Step 1: Use the conversion formula
Basis points = percent × 100

Step 2: Insert the value
Basis points = 1.25 × 100

Step 3: Calculate
Basis points = 125 bps

So, 1.25% equals 125 basis points.

Worked Example: What Is a BPS Change Worth?

Suppose you want to find what 40 bps is worth on an amount of $50,000.

Step 1: Convert bps to decimal
40 ÷ 10,000 = 0.004

Step 2: Multiply by the amount
50,000 × 0.004 = $200

So, 40 bps of $50,000 is $200.

How to Use This Basis Point (BPS) Calculator

1. Enter the value you want to convert.
2. Select the value type: decimal value, percent, permille, or basis points.
3. Enter basis points and an amount if you want to calculate the money value of a bps change.
4. Select the currency symbol for the change amount.
5. Click Calculate.
6. Review the decimal, percent, permille, basis points, change amount, summary, and step-by-step output.

How to Interpret the Result

Decimal shows the rate in decimal form. For example, 0.015 means 1.5%.

Percent shows the rate as a percentage. For example, 1.5% equals 150 bps.

Permille shows the rate per thousand. For example, 15‰ equals 1.5%.

Basis points show the same value in hundredths of a percentage point.

Change amount shows what the entered number of basis points is worth on the entered amount.

Basis Points vs Percentage Points

A percentage point is the direct difference between two percentages. A basis point is one-hundredth of a percentage point.

For example, a rate increase from 4.00% to 4.50% is:

• 0.50 percentage points
• 50 basis points

This is not the same as a 50% relative increase. Basis points are used to communicate the exact percentage-point movement.

Practical Uses of a BPS Calculator

• convert basis points to percent
• convert percent to basis points
• compare interest rate changes
• estimate the dollar value of a fee or rate change
• understand mortgage or loan rate movements
• compare investment expense ratios
• interpret central bank rate changes
• translate financial news into decimal or percentage values

Common Mistakes to Avoid

• Do not confuse 100 bps with 100%.
• Remember that 100 bps equals 1 percentage point, not a 100% relative increase.
• Do not confuse percent with decimal form; 1% equals 0.01 as a decimal.
• Do not use the simple change amount as a full loan-interest calculation.
• Do not use the simple change amount as a full bond-price sensitivity calculation.
• Do not ignore time, compounding, payment schedules, and fees when applying bps changes to real financial products.

Formula Summary

What You Want to Find	Formula
Percent from basis points	Percent = bps ÷ 100
Basis points from percent	Bps = percent × 100
Decimal from basis points	Decimal = bps ÷ 10,000
Basis points from decimal	Bps = decimal × 10,000
Permille from basis points	Permille = bps ÷ 10
Basis points from permille	Bps = permille × 10
Change amount	Change amount = amount × (bps ÷ 10,000)

References

1. AjaxCalculators live Basis Point Calculator
2. Investopedia: Basis point definition, value, and uses
3. CME Group: Basis point value and rate-change examples
4. Wall Street Prep: Basis points formula and finance examples

Related Calculators

• Interest Rate Calculator
• APY Calculator
• APR Calculator
• Mortgage Calculator
• Mortgage Interest Calculator
• Mortgage/Loan Amortization Calculator
• Refinance Calculator
• ROI Calculator

Disclaimer: This calculator is for educational and planning use only. It converts basis points and estimates a simple bps-based change amount. It does not provide financial, investment, tax, legal, banking, lending, or bond-pricing advice. Real financial outcomes can depend on compounding, time period, repayment schedule, fees, taxes, credit terms, market conditions, and product-specific rules.