Decibel to percentage converter
Enter a value in either field below to convert instantly.
For attenuation (loss), ensure you add a minus (-) sign to the dB value.
dB
%
Clear Fields
P(%) = 100 × 10^(dB/10)
Ready to calculate.
How it works?
1. Converting dB to %
The power level \( x \) in dB is converted to a linear scale using the formula:
\[
k = 10^{\frac{x}{10}}
\]
To convert this linear scale to a percentage, it is multiplied by 100:
\[
\% = 100 \cdot k
\]
Therefore, the percentage \( \% \) can be calculated as \( 100 \cdot 10^{\frac{x}{10}} \).
2. Converting % to dB
Given a percentage \( \% \), it can be converted back to dB using the formula:
\[
x = 10 \cdot \log_{10} \left( \frac{\%}{100} \right)
\]
Here, \( x \) represents the dB value corresponding to the given percentage \( \% \).