The Bolsheviks' success refers to the triumph of the Bolshevik Party in the Russian Revolution of 1917, where they overthrew the Provisional Government and established a socialist state. This victory was marked by their ability to mobilize popular support through promises of 'peace, land, and bread,' ultimately leading to the establishment of Soviet power. The success of the Bolsheviks dramatically transformed Russian society and politics, leading to a civil war and significant global repercussions in the context of 20th-century history.