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Mathematical problem solving is a critical skill that involves understanding the problem at hand, devising a plan to solve it, carrying out the plan, and then reviewing the solution to ensure it is correct. When faced with the task of converting percentages to decimals, the first step is to comprehend what a percentage represents. A percentage is a way of expressing a number as a fraction of 100. For instance, when we see the number '72%', it indicates 72 parts out of 100 parts.

To solve this problem, we follow a structured approach. After recognizing the problem, we apply a standard rule for percentage conversion—dividing the percentage by 100—which simplifies the mathematical process. This structured approach not only aids in solving the given problem but also strengthens the understanding of how percentages relate to decimals in a broader mathematical context.

Percentage conversion is the process of transforming a percentage into its decimal equivalent. This is a basic concept in mathematics that lays the foundation for various applications in finance, statistics, and everyday calculations. The key to converting percentages to decimals lies in the understanding that 'percent' means 'per hundred'. Thus, to convert any percentage to a decimal, you divide it by 100. This simple division moves the decimal point two places to the left.

For example, converting the percentage 72% to a decimal involves dividing 72 by 100. This can be visually represented as shifting the decimal point two places to the left of 72, which results in 0.72. Learning to convert percentages to decimals is an invaluable tool that has practical implications in many real-world scenarios.

Once you have converted a percentage to a decimal, the next step is decimal simplification. This process involves formatting the decimal in the simplest form possible for easy understanding and use. Simplification of decimals may not always result in a change in the value; sometimes, it is about presenting the number in a more straightforward manner.

For the given example, the conversion of 72% to a decimal yields 0.72, which is already in its simplest form. However, in cases where additional zeros follow the decimal point, or there is a repeating decimal, further simplification might be necessary. Simplifying decimals is a common practice in mathematics that helps avoid cumbersome numbers and facilitates easier computation and comparison of values.