Today the Moon will be in a Waning Gibbous Phase. This is the first phase after the Full Moon occurs. It lasts roughly 7 days with the Moon’s illumination growing smaller each day until the Moon becomes a Last Quarter Moon with a illumination of 50%. The average Moon rise for this phase is between 9am and Midnight depending on the age of the phase. The moon rises later and later each night setting after sunrise in the morning. During this phase the Moon can also be seen in the early morning daylight hours on the western horizon.

Visit the December 2020 Moon Phases Calendar to see all the daily moon phase for this month.

Waning Gibbous Phase

The Waning Gibbous on December 4 has an illumination of 84%. This is the percentage of the Moon illuminated by the Sun. The illumination is constantly changing and can vary up to 10% a day. On December 4 the Moon is 18.61 days old. This refers to how many days it has been since the last New Moon. It takes 29.53 days for the Moon to orbit the Earth and go through the lunar cycle of all 8 Moon phases.

From Moongiant.com 

You can use this link to go forward or backward in time for Moon phase information. If you are curious you can even find out what phase the Moon was in when you or anyone else, you know was on the date the person was born.