The cooling costs are usually included in the kW costs you have.
That being said, it's rare for a modern datacenter to have PUE > 1.1 (10% of power costs goes to cooling, lights, etc)
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But not all datacenter are modern I suppose.
50-60% is what use a classic datacenter.
Why does it matter what is using the electricity?
Electricity is important to run the hardware longer. Until energy usage > gain.
Cooling is decisive to run CT hardware. If it get a bit hot, some machines shut-down.