Has the present rise of CO2 ppm been proved to be caused by human activity? The level of CO2 in the atmosphere has risen roughly from 300 to 400ppm over the last 60 years.

What are the reliable calculations showing that such a rise has been caused by human activity? I am looking for something like "X millions of tones of kerosene was burnt between 1980 and 2010 which produced Y millions tones of CO2 which effected in additional Z ppm of CO2 in the atmosphere".
US EPA  

Some of the carbon goes into the oceans and soil:



Wikipedia  

The cumulative contribution to the atmosphere is  the area of the light blue region of this chart.

CarbonBrief,  Le Quéré, C. et al. (2016)