Free Tool
Degrees to Percentage Converter
Last reviewed on 2026-05-22.
Convert degrees of arc to a percentage of the pie
The math
A full pie chart is 360°, which equals 100%. So 1° equals 0.278% (1/3.6), and 1% equals 3.6°.
Common degree-to-percent values
- 30° = 8.3%
- 45° = 12.5%
- 60° = 16.7%
- 90° = 25% (a quarter pie)
- 120° = 33.3% (a third)
- 180° = 50% (half pie)
- 270° = 75%
- 360° = 100% (full pie)
Where you'd need this
Working with raw geometry data, designing a pie chart in vector software, programming arc paths in SVG or Canvas, or interpreting a chart description that uses degrees instead of percentages. This converter handles both directions.
Equals — of the pie.
Equals — of arc.
Frequently Asked Questions
How many degrees is 50% of a pie chart?
180° — half the full 360° pie.
What percentage is 60 degrees?
60° ÷ 3.6 = 16.7%.
Why is a pie chart 360 degrees?
A pie chart is a circle, and a full circle is defined as 360° by convention. Each percent of the data takes up 3.6° of that 360° total.