Hypothetical extraction as a method of input-output economics is highly useful for analyzing the contribution to environmental footprints of specific industries, corporations, or intermediate products. Here, the method is derived in detail, based on a new paper published in the Journal of Industrial Ecology. https://onlinelibrary.wiley.com/doi/full/10.1111/jiec.13522 As an example, results for materials are presented from two additional papers published in Nature Geoscience and Environmental Science & Technology. https://www.nature.com/articles/s41561-021-00690-8 https://doi.org/10.1021/acs.est.2c05857