Determining the proportional relationship between two numerical values is a fundamental mathematical operation. Specifically, when evaluating the proportion of 107 relative to a total of 200, the objective is to express 107 as a percentage of 200. This is achieved by dividing 107 by 200, resulting in a decimal, which is then multiplied by 100 to obtain the percentage equivalent. For example, if a student scores 107 out of a possible 200 points on an examination, calculating the percentage provides a standardized metric to assess performance.
Understanding percentage calculations is crucial in numerous contexts, ranging from financial analysis and statistical interpretation to everyday decision-making. It provides a readily understandable way to compare quantities of differing scales. This type of calculation has historical significance, appearing in various forms throughout the development of mathematics and commerce, aiding in fair transactions, resource allocation, and understanding relative change.