Hi,
you are talking about a coupler, therefore a 3dB coupler (or power divider) means that it just divides your input power. If you put 0dBm power in, you get on each of the two output ports -3dBm power out. In that case -3dB means 1/2, -6dB would mean 1/4, -9dB means 1/8 and so on. Just continue that row and you will find out that -10dB equals to 1/10 and -20dB means 1/100.
You put 1W (equals to 30dBm) into the divider and you will get only 0.01W (equals to 10dBm) out. So 20dB less.