Home Back

dB to % Calculator

dB to Percentage Formula:

\[ \% = (10^{dB / 20} - 1) \times 100 \]

dB

Unit Converter ▲

Unit Converter ▼

From: To:

1. What is dB to Percentage Conversion?

The decibel (dB) is a logarithmic unit used to express ratios, while percentage is a linear scale. This conversion translates between these two representations, particularly useful in audio engineering, signal processing, and electronics.

2. How Does the Calculator Work?

The calculator uses the following equation:

\[ \% = (10^{dB / 20} - 1) \times 100 \]

Where:

Explanation: The formula converts the logarithmic dB scale to a linear percentage scale, where 0 dB equals 0% change.

3. Importance of dB to % Conversion

Details: This conversion is essential when you need to understand signal changes in linear terms rather than logarithmic terms, particularly in audio level adjustments and signal processing applications.

4. Using the Calculator

Tips: Enter the dB value (positive or negative) and click calculate. The result will show the equivalent percentage change.

5. Frequently Asked Questions (FAQ)

Q1: Why divide by 20 in the formula?
A: The division by 20 is used when converting voltage or amplitude ratios to dB. For power ratios, you would divide by 10 instead.

Q2: What does 0 dB equal in percentage?
A: 0 dB equals 0% change (the output equals the input exactly).

Q3: What does 6 dB equal in percentage?
A: Approximately 100% increase (output is double the input).

Q4: Can I convert negative dB values?
A: Yes, negative dB values represent attenuation and will result in negative percentage values.

Q5: When is this conversion most useful?
A: When you need to understand signal changes in more intuitive linear terms rather than logarithmic terms.

dB to % Calculator© - All Rights Reserved 2025