PaO2/FiO2 Ratio Calculator
Divide arterial oxygen by inspired oxygen fraction to grade hypoxemia.
Result
How it is calculated
The P/F ratio is PaO2 ÷ FiO2, where PaO2 is the arterial oxygen pressure in mmHg and FiO2 is the inspired oxygen as a fraction. You enter FiO2 as a percent (for example 40, or 21 for room air); the tool divides by 100 first and shows that fraction too. The ratio is rounded to a whole number. Grades follow the Berlin cut-offs: above 300 normal, above 200 up to 300 mild, above 100 up to 200 moderate, and 100 or less severe, so the boundary values 300, 200 and 100 fall in the worse grade. PaO2 must be above 0 and at most 800 mmHg, and FiO2 above 0 and at most 100 %; anything else gives no result. The tool grades any ratio that passes these limits; a clinical ARDS diagnosis also needs other criteria.
Worked example
A patient on supplemental oxygen has an arterial PaO2 of 75 mmHg while breathing 40 % oxygen. The fraction is 40 ÷ 100 = 0.40, shown as 0.40. P/F = 75 ÷ 0.40 = 187.5, which the tool rounds to 188. Since 188 is above 100 but not above 200, the grade is Moderate ARDS. With the same PaO2 at 30 % oxygen the ratio would be 250, mild. This is why a rising oxygen setting with a flat PaO2 counts as worsening oxygenation.
Common mistakes
- Typing FiO2 as 0.4 instead of 40: the tool reads 0.4 % and prints a ratio of 18,750, graded Normal / no ARDS.
- Using oxygen saturation (94) instead of the arterial pressure PaO2 in mmHg; the ratio only makes sense with the pressure.
- Entering PaO2 in kPa without converting to mmHg (about 7.5 mmHg per kPa); the ratio then looks several times too low.
- Reading a grade as an ARDS diagnosis: the tool labels any ratio, even for a patient who is not ventilated or has no lung infiltrates.
- Entering a PaO2 above 800 by a unit slip: it now gives no result, but a wrong value below that limit is still graded, so check the units yourself.
About this calculator
The PaO2/FiO2 ratio (P/F ratio) divides the partial pressure of oxygen in arterial blood (PaO2, from an arterial blood gas, in mmHg) by the fraction of inspired oxygen (FiO2, entered here as a percentage — 21 for room air, higher on supplemental oxygen or a ventilator). A healthy person breathing room air has a P/F ratio around 400-500; the ratio drops as the lungs become less able to transfer oxygen into the blood relative to what’s being delivered.
Under the Berlin criteria, the P/F ratio is the key measure used to grade the severity of ARDS (acute respiratory distress syndrome) in a mechanically ventilated patient with bilateral lung infiltrates: mild ARDS is a P/F ratio above 200 up to 300, moderate is above 100 up to 200, and severe is 100 or below. Intensivists recalculate it repeatedly through a patient’s ICU stay to track whether oxygenation is improving or worsening and to guide decisions like ventilator settings and prone positioning.
This calculator divides your arterial oxygen level by the inspired oxygen fraction (converted from your percentage) and grades the result using the Berlin ARDS severity criteria.
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