Power factor to percent
Type a value in cos φ to get it in % instantly.
80%
That's 1.14× as good as a half-loaded motor, while a fully loaded motor is 1.06× better. A 100 kW load at that factor draws 125 kVA.
What it means
How much is wasted?
This is displacement power factor, for clean sine waves. Electronic loads add harmonics, and their true power factor is worse than the phase angle suggests.
The math
How to convert cos φ to %
To convert power factor to percent, multiply by 100.
Example: 0.8 cos φ × 100 = 80 %.
In the other direction, 1 % = 0.01 cos φ.
Every unit
Your power factor in every unit
Tables
cos φ to % conversion table
| cos φ | % |
|---|---|
| 0.2 cos φ | 20 % |
| 0.4 cos φ | 40 % |
| 0.5 cos φ | 50 % |
| 0.6 cos φ | 60 % |
| 0.7 cos φ | 70 % |
| 0.8 cos φ | 80 % |
| 0.85 cos φ | 85 % |
| 0.9 cos φ | 90 % |
| 0.95 cos φ | 95 % |
| 0.99 cos φ | 99 % |
| 1 cos φ | 100 % |
% to cos φ conversion table
| % | cos φ |
|---|---|
| 0.2 % | 0.002 cos φ |
| 0.4 % | 0.004 cos φ |
| 0.5 % | 0.005 cos φ |
| 0.6 % | 0.006 cos φ |
| 0.7 % | 0.007 cos φ |
| 0.8 % | 0.008 cos φ |
| 0.85 % | 0.0085 cos φ |
| 0.9 % | 0.009 cos φ |
| 0.95 % | 0.0095 cos φ |
| 0.99 % | 0.0099 cos φ |
| 1 % | 0.01 cos φ |
Quick answers
Quick answers
- How many % is 1 cos φ?
- 1 cos φ is 100 %.
- How many % is 10 cos φ?
- 10 cos φ is 1,000 %.
- How many % is 0.8 cos φ?
- 0.8 cos φ is 80 %.
The units
About these units
Power factor (cos φ)
The ratio of real power to apparent power.
Percent (%)
The same figure as a percentage.
Keep going