This tool converts from deciBel to a Percentage.
Formula
ALinear = 10AdB/10
A% = 100*ALinear
Example Calculations
3 dB is a commonly used quantity in the world of RF engineering.
A two port device called a 3 dB splitter splits the input signal into two equal powered output signals. Use -3 dB in the calculator above. This gives a linear value of 1/2 or 0.5. Half the power appears on each output port. In percentage terms, the value is 50%. Essentially it is a halving of value.
A passive splitter may be used as an RF combiner. In this case, an equal amount of power on each input, e.g. +10 dBm, will result in a doubling of power to give +13 dBm on the output (using the RF combiner calculator) This is 3 dB higher. In percentage terms it’s 200%.
In the case of a lossless antenna cable, the input power is equal to the output power. There’s 0 dB of loss in this case which translates to 100% of the input being transferred to the output. Antenna cable loss can never be zero. It can however be very negligible for very short lengths and at low frequencies.
A 3 dB amplifier results in a doubling of the signal. In percentage terms, the value in this case is 200%.
It’s really important to consider the sign of the dB value. A negative sign implies a reduction in power relative to the original while a positive sign means an increase.
A 10 dB amplifier results in an output power that is ten times the input power. In percentage terms this is 1000%.
dB to Percent Chart
This is a table that shows dB values and their linear and percent equivalent from -100 dB to +100 dB.
| dB | Linear | Percentage (%) |
|---|---|---|
| -100 | 1.0000E-10 | 0.0000% |
| -99 | 1.2589E-10 | 0.0000% |
| -98 | 1.5849E-10 | 0.0000% |
| -97 | 1.9953E-10 | 0.0000% |
| -96 | 2.5119E-10 | 0.0000% |
| -95 | 3.1623E-10 | 0.0000% |
| -94 | 3.9811E-10 | 0.0000% |
| -93 | 5.0119E-10 | 0.0000% |
| -92 | 6.3096E-10 | 0.0000% |
| -91 | 7.9433E-10 | 0.0000% |
| -90 | 1.0000E-09 | 0.0000% |
| -89 | 1.2589E-09 | 0.0000% |
| -88 | 1.5849E-09 | 0.0000% |
| -87 | 1.9953E-09 | 0.0000% |
| -86 | 2.5119E-09 | 0.0000% |
| -85 | 3.1623E-09 | 0.0000% |
| -84 | 3.9811E-09 | 0.0000% |
| -83 | 5.0119E-09 | 0.0000% |
| -82 | 6.3096E-09 | 0.0000% |
| -81 | 7.9433E-09 | 0.0000% |
| -80 | 1.0000E-08 | 0.0000% |
| -79 | 1.2589E-08 | 0.0000% |
| -78 | 1.5849E-08 | 0.0000% |
| -77 | 1.9953E-08 | 0.0000% |
| -76 | 2.5119E-08 | 0.0000% |
| -75 | 3.1623E-08 | 0.0000% |
| -74 | 3.9811E-08 | 0.0000% |
| -73 | 5.0119E-08 | 0.0000% |
| -72 | 6.3096E-08 | 0.0000% |
| -71 | 7.9433E-08 | 0.0000% |
| -70 | 1.0000E-07 | 0.0000% |
| -69 | 1.2589E-07 | 0.0000% |
| -68 | 1.5849E-07 | 0.0000% |
| -67 | 1.9953E-07 | 0.0000% |
| -66 | 2.5119E-07 | 0.0000% |
| -65 | 3.1623E-07 | 0.0000% |
| -64 | 3.9811E-07 | 0.0000% |
| -63 | 5.0119E-07 | 0.0001% |
| -62 | 6.3096E-07 | 0.0001% |
| -61 | 7.9433E-07 | 0.0001% |
| -60 | 1.0000E-06 | 0.0001% |
| -59 | 1.2589E-06 | 0.0001% |
| -58 | 1.5849E-06 | 0.0002% |
| -57 | 1.9953E-06 | 0.0002% |
| -56 | 2.5119E-06 | 0.0003% |
| -55 | 3.1623E-06 | 0.0003% |
| -54 | 3.9811E-06 | 0.0004% |
| -53 | 5.0119E-06 | 0.0005% |
| -52 | 6.3096E-06 | 0.0006% |
| -51 | 7.9433E-06 | 0.0008% |
| -50 | 1.0000E-05 | 0.0010% |
| -49 | 1.2589E-05 | 0.0013% |
| -48 | 1.5849E-05 | 0.0016% |
| -47 | 1.9953E-05 | 0.0020% |
| -46 | 2.5119E-05 | 0.0025% |
| -45 | 3.1623E-05 | 0.0032% |
| -44 | 3.9811E-05 | 0.0040% |
| -43 | 5.0119E-05 | 0.0050% |
| -42 | 6.3096E-05 | 0.0063% |
| -41 | 7.9433E-05 | 0.0079% |
| -40 | 1.0000E-04 | 0.0100% |
| -39 | 1.2589E-04 | 0.0126% |
| -38 | 1.5849E-04 | 0.0158% |
| -37 | 1.9953E-04 | 0.0200% |
| -36 | 2.5119E-04 | 0.0251% |
| -35 | 3.1623E-04 | 0.0316% |
| -34 | 3.9811E-04 | 0.0398% |
| -33 | 5.0119E-04 | 0.0501% |
| -32 | 6.3096E-04 | 0.0631% |
| -31 | 7.9433E-04 | 0.0794% |
| -30 | 1.0000E-03 | 0.1000% |
| -29 | 1.2589E-03 | 0.1259% |
| -28 | 1.5849E-03 | 0.1585% |
| -27 | 1.9953E-03 | 0.1995% |
| -26 | 2.5119E-03 | 0.2512% |
| -25 | 3.1623E-03 | 0.3162% |
| -24 | 3.9811E-03 | 0.3981% |
| -23 | 5.0119E-03 | 0.5012% |
| -22 | 6.3096E-03 | 0.6310% |
| -21 | 7.9433E-03 | 0.7943% |
| -20 | 1.0000E-02 | 1.0000% |
| -19 | 1.2589E-02 | 1.2589% |
| -18 | 1.5849E-02 | 1.5849% |
| -17 | 1.9953E-02 | 1.9953% |
| -16 | 2.5119E-02 | 2.5119% |
| -15 | 3.1623E-02 | 3.1623% |
| -14 | 3.9811E-02 | 3.9811% |
| -13 | 5.0119E-02 | 5.0119% |
| -12 | 6.3096E-02 | 6.3096% |
| -11 | 7.9433E-02 | 7.9433% |
| -10 | 1.0000E-01 | 10.0000% |
| -9 | 1.2589E-01 | 12.5893% |
| -8 | 1.5849E-01 | 15.8489% |
| -7 | 1.9953E-01 | 19.9526% |
| -6 | 2.5119E-01 | 25.1189% |
| -5 | 3.1623E-01 | 31.6228% |
| -4 | 3.9811E-01 | 39.8107% |
| -3 | 5.0119E-01 | 50.1187% |
| -2 | 6.3096E-01 | 63.0957% |
| -1 | 7.9433E-01 | 79.4328% |
| 0 | 1.0000E+00 | 100.0000% |
| 1 | 1.2589E+00 | 125.8925% |
| 2 | 1.5849E+00 | 158.4893% |
| 3 | 1.9953E+00 | 199.5262% |
| 4 | 2.5119E+00 | 251.1886% |
| 5 | 3.1623E+00 | 316.2278% |
| 6 | 3.9811E+00 | 398.1072% |
| 7 | 5.0119E+00 | 501.1872% |
| 8 | 6.3096E+00 | 630.9573% |
| 9 | 7.9433E+00 | 794.3282% |
| 10 | 1.0000E+01 | 1000.0000% |
| 11 | 1.2589E+01 | 1258.9254% |
| 12 | 1.5849E+01 | 1584.8932% |
| 13 | 1.9953E+01 | 1995.2623% |
| 14 | 2.5119E+01 | 2511.8864% |
| 15 | 3.1623E+01 | 3162.2777% |
| 16 | 3.9811E+01 | 3981.0717% |
| 17 | 5.0119E+01 | 5011.8723% |
| 18 | 6.3096E+01 | 6309.5734% |
| 19 | 7.9433E+01 | 7943.2823% |
| 20 | 1.0000E+02 | 10000.0000% |
| 21 | 1.2589E+02 | 12589.2541% |
| 22 | 1.5849E+02 | 15848.9319% |
| 23 | 1.9953E+02 | 19952.6231% |
| 24 | 2.5119E+02 | 25118.8643% |
| 25 | 3.1623E+02 | 31622.7766% |
| 26 | 3.9811E+02 | 39810.7171% |
| 27 | 5.0119E+02 | 50118.7234% |
| 28 | 6.3096E+02 | 63095.7344% |
| 29 | 7.9433E+02 | 79432.8235% |
| 30 | 1.0000E+03 | 100000.0000% |
| 31 | 1.2589E+03 | 125892.5412% |
| 32 | 1.5849E+03 | 158489.3192% |
| 33 | 1.9953E+03 | 199526.2315% |
| 34 | 2.5119E+03 | 251188.6432% |
| 35 | 3.1623E+03 | 316227.7660% |
| 36 | 3.9811E+03 | 398107.1706% |
| 37 | 5.0119E+03 | 501187.2336% |
| 38 | 6.3096E+03 | 630957.3445% |
| 39 | 7.9433E+03 | 794328.2347% |
| 40 | 1.0000E+04 | 1000000.0000% |
| 41 | 1.2589E+04 | 1258925.4118% |
| 42 | 1.5849E+04 | 1584893.1925% |
| 43 | 1.9953E+04 | 1995262.3150% |
| 44 | 2.5119E+04 | 2511886.4315% |
| 45 | 3.1623E+04 | 3162277.6602% |
| 46 | 3.9811E+04 | 3981071.7055% |
| 47 | 5.0119E+04 | 5011872.3363% |
| 48 | 6.3096E+04 | 6309573.4448% |
| 49 | 7.9433E+04 | 7943282.3472% |
| 50 | 1.0000E+05 | 10000000.0000% |
| 51 | 1.2589E+05 | 12589254.1179% |
| 52 | 1.5849E+05 | 15848931.9246% |
| 53 | 1.9953E+05 | 19952623.1497% |
| 54 | 2.5119E+05 | 25118864.3151% |
| 55 | 3.1623E+05 | 31622776.6017% |
| 56 | 3.9811E+05 | 39810717.0553% |
| 57 | 5.0119E+05 | 50118723.3627% |
| 58 | 6.3096E+05 | 63095734.4480% |
| 59 | 7.9433E+05 | 79432823.4724% |
| 60 | 1.0000E+06 | 100000000.0000% |
| 61 | 1.2589E+06 | 125892541.1794% |
| 62 | 1.5849E+06 | 158489319.2461% |
| 63 | 1.9953E+06 | 199526231.4969% |
| 64 | 2.5119E+06 | 251188643.1510% |
| 65 | 3.1623E+06 | 316227766.0168% |
| 66 | 3.9811E+06 | 398107170.5535% |
| 67 | 5.0119E+06 | 501187233.6273% |
| 68 | 6.3096E+06 | 630957344.4802% |
| 69 | 7.9433E+06 | 794328234.7243% |
| 70 | 1.0000E+07 | 1000000000.0000% |
| 71 | 1.2589E+07 | 1258925411.7942% |
| 72 | 1.5849E+07 | 1584893192.4611% |
| 73 | 1.9953E+07 | 1995262314.9689% |
| 74 | 2.5119E+07 | 2511886431.5096% |
| 75 | 3.1623E+07 | 3162277660.1684% |
| 76 | 3.9811E+07 | 3981071705.5350% |
| 77 | 5.0119E+07 | 5011872336.2727% |
| 78 | 6.3096E+07 | 6309573444.8019% |
| 79 | 7.9433E+07 | 7943282347.2428% |
| 80 | 1.0000E+08 | 10000000000.0000% |
| 81 | 1.2589E+08 | 12589254117.9417% |
| 82 | 1.5849E+08 | 15848931924.6111% |
| 83 | 1.9953E+08 | 19952623149.6888% |
| 84 | 2.5119E+08 | 25118864315.0958% |
| 85 | 3.1623E+08 | 31622776601.6838% |
| 86 | 3.9811E+08 | 39810717055.3497% |
| 87 | 5.0119E+08 | 50118723362.7272% |
| 88 | 6.3096E+08 | 63095734448.0194% |
| 89 | 7.9433E+08 | 79432823472.4282% |
| 90 | 1.0000E+09 | 100000000000.0000% |
| 91 | 1.2589E+09 | 125892541179.4170% |
| 92 | 1.5849E+09 | 158489319246.1110% |
| 93 | 1.9953E+09 | 199526231496.8880% |
| 94 | 2.5119E+09 | 251188643150.9580% |
| 95 | 3.1623E+09 | 316227766016.8380% |
| 96 | 3.9811E+09 | 398107170553.4970% |
| 97 | 5.0119E+09 | 501187233627.2720% |
| 98 | 6.3096E+09 | 630957344480.1940% |
| 99 | 7.9433E+09 | 794328234724.2820% |
| 100 | 1.0000E+10 | 1000000000000.0000% |