Which time period began when earth formed and ended about 542 million years ago representing about 88 of earth geologic time?

The time period you're referring to is the Precambrian, which began with the formation of Earth around 4.6 billion years ago and lasted until approximately 542 million years ago. This vast span of time encompasses the Hadean, Archean, and Proterozoic eons, during which the planet's crust cooled, life began to evolve, and atmospheric conditions changed significantly. The Precambrian represents about 88% of Earth's geological history, setting the stage for the Cambrian Explosion that marked the beginning of abundant and diverse life forms.