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Interesting metric, although harder to interpret for laymen without a quantitative brain.
In any case, what's the definition and significance? From what you say, it seems the definition would be
hashrate*global energy budget/global mining energy consumption
no, the "/" was like an "or, alternative but similar" not a division sorry.
so it's really 2 related but similar metrics.
both are measures of energy.
the hashrate is an absolute number, easy to measure but harder to relate as a concrete indicator.
the percent of global energy number is impossible to measure precisely but not that hard to estimate, and gives a meaningful summary of the role Bitcoin plays in humanity's economic choices.
ie if it 5xes to 1%, miners clearly would rather spend energy on Bitcoin than on other traditional commodities like aluminum or making plushy toys in a factory.
but if it drops to one millionth of the energy budget, that"s a sign that Bitcoin is seriously weakening.
hashrate / % of global energy budget. (currently about 0.2% if memory serves)