The P/F ratio — arterial oxygen tension divided by inspired oxygen fraction — is the single most used number for grading hypoxaemic respiratory failure. This calculator computes it from a blood gas and ventilator setting, then classifies severity under the Berlin definition of acute respiratory distress syndrome, all in your browser.
How it works
The ratio divides PaO₂ (in mmHg) by FiO₂ expressed as a fraction:
P/F = PaO2_mmHg / (FiO2_percent / 100)
If your gas reports PaO₂ in kPa, the tool first converts it (1 kPa = 7.5 mmHg) because the Berlin thresholds are defined in mmHg. The Berlin definition, assuming PEEP of at least 5 cmH₂O, then grades the result: 200–300 is mild ARDS, 100–200 moderate, and below 100 severe; above 300 does not meet the oxygenation criterion.
Example and notes
A patient with a PaO₂ of 80 mmHg on 60% oxygen has a P/F ratio of 80 / 0.60 = 133, placing them in the moderate ARDS band. The ratio is sensitive to FiO₂, so a patient can move between categories simply by changing the oxygen setting — interpret it alongside PEEP and the ventilator strategy. The oxygenation grade is only one of the Berlin criteria; acute onset, bilateral infiltrates, and a non-cardiac cause must also be present to diagnose ARDS.
Berlin definition thresholds at a glance
The 2012 Berlin definition replaced the older AECC criteria and introduced PEEP as a mandatory context. All three severity categories require PEEP or CPAP of at least 5 cmH₂O:
| ARDS severity | P/F ratio (mmHg) | Notes |
|---|---|---|
| No ARDS | Above 300 | Does not meet oxygenation criterion |
| Mild | 200 to 300 | Must meet all other criteria plus PEEP |
| Moderate | 100 to 200 | Most common presentation at ICU admission |
| Severe | Below 100 | Associated with higher mortality |
Interpreting the ratio in clinical context
The P/F ratio is a snapshot, not a trajectory. A few practical points for clinical use:
FiO₂ dependence: The ratio changes with every adjustment to inspired oxygen. A patient titrated from 60% to 80% FiO₂ might appear to worsen (lower ratio) if the higher FiO₂ raised PaO₂ proportionally less than it changed the denominator. Standardise the FiO₂ when comparing serial values.
PEEP effect: Increasing PEEP recruits collapsed alveoli, which raises PaO₂ and can move a patient from the moderate to mild category even without any change in their underlying lung disease. The Berlin definition requires at least 5 cmH₂O PEEP to exclude spuriously good ratios on low or no PEEP.
kPa users: Many European and UK blood-gas analysers report in kPa. The conversion is 1 kPa = 7.5 mmHg. A PaO₂ of 10.7 kPa, for example, equals 80 mmHg — use the unit selector in this tool rather than converting manually.
Trend matters more than a single value: An improving P/F ratio over 12 to 24 hours in a ventilated patient generally suggests a response to treatment. A falling ratio despite optimised PEEP and FiO₂ is a concerning sign regardless of the absolute classification.
This tool is a calculation aid. Clinical decisions require the full patient assessment including imaging, clinical history, and the judgement of a qualified clinician.