Short answers, pulled from the story.
The Insurrection of the 10th of August 1792 involved a storming of the Tuileries Palace in Paris by revolutionary forces. This event led to the suspension of King Louis XVI and marked the end of the French monarchy.
Georges Jacques Danton led the republican Cordeliers Society which drove the insurrection. Maximilien Robespierre and Camille Desmoulins worked alongside him while Jérôme Pétion de Villeneuve spoke to the Assembly on the 3rd of August soliciting the monarchy's end.
The Legislative Assembly declared la patrie est en danger six days after news reached Paris that the Brunswick Manifesto was issued on the 1st of August. This declaration occurred on the 7th of August 1792.
Total losses on the King side reached perhaps eight hundred out of nine hundred Swiss guardsmen on duty at the palace. Commander Louis-Auguste-Augustin d'Affry reported on the 12th of November that about 300 Swiss guardsmen were killed at Tuileries.
Formal end of the monarchy occurred six weeks later on the 21st of September 1792 as the first act of the new National Convention. The republic was established the next day on the 22nd of September 1792.