1. Let's start by understanding the problem: you want to find an angle corresponding to a given percentage. 2. A percentage can be thought of as a part of a whole, and when relating it to an angle, we often consider a full circle which is $360^\circ$. 3. The formula to convert a percentage $p$ to an angle $\theta$ in degrees is: $$\theta = \frac{p}{100} \times 360$$ 4. This means you multiply the percentage by 360 and then divide by 100. 5. For example, if the percentage is 25%, then: $$\theta = \frac{25}{100} \times 360 = 0.25 \times 360 = 90^\circ$$ 6. So, 25% corresponds to a $90^\circ$ angle. 7. This method works for any percentage between 0% and 100%, converting it to an angle between $0^\circ$ and $360^\circ$. 8. If you want the angle in radians instead of degrees, use the formula: $$\theta = \frac{p}{100} \times 2\pi$$ where $2\pi$ radians is a full circle. 9. To summarize, the key formula is: $$\theta = \frac{p}{100} \times 360$$ where $\theta$ is the angle in degrees and $p$ is the percentage.