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The percentage of oxygen in the air is for the most the same in the entire atmosphere.

It is only in the very high altitudes that the percentage of oxygen actually diminishes. This because it is heavier than the helium and hydrogen that is up there.

What matters however is the pressure of the air.

At high altitude you breathe less oxygen because pressure is lower.

At low altitude you breathe more oxygen due to higher pressure.

The pressure of the atmosphere drops by approximately 50% every 18.000 feet (5.600 Meters, 5.6 Kilometer's)

Oxygen, being a gas, exerts a partial pressure, which is determined by the prevailing environmental pressure. At sea level, the atmospheric pressure is 760mmHg, and oxygen makes up 21% (20.094% to be exact) of inspired air: so oxygen exerts a partial pressure of 760 x 0.21 = 159mmHg.

The partial pressure does not actually change much at all with altitude since the percentage of oxygen remains the same.

Our body however (with altitude) utilizes less oxygen because there is less of it and this effectively reduces partial pressure of oxygen in our bodies.

Read more on related link down below.

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Q: How does partial pressure of oxygen change as altitude changes?
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