The mathematical method utilized to determine a percentage involves establishing a relationship between a part and a whole, expressing it as a fraction of 100. For example, to find what percentage 30 represents of 200, one divides 30 by 200, resulting in 0.15. Multiplying this decimal by 100 converts it to a percentage, indicating that 30 is 15% of 200. This fundamental calculation is applicable across various contexts.
The ability to accurately compute percentage values offers significant advantages in diverse fields. In finance, it is crucial for calculating interest rates, investment returns, and profit margins. In retail, percentage calculations aid in determining discounts, markups, and sales tax. Historically, the concept of percentage has been instrumental in facilitating trade, taxation, and economic analysis, providing a standardized means of expressing proportions and ratios.