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Calculating a percentage of a given number is a fundamental mathematical operation with broad applications. In the specific case of finding 30 percent of 900, the operation involves multiplying 900 by the decimal equivalent of 30 percent, which is 0.30. The result of this calculation is 270.

Understanding percentage calculations is essential in various contexts, ranging from personal finance, such as calculating discounts or interest rates, to business applications, like determining profit margins or market share. Historically, the concept of percentages has been utilized to represent proportional relationships and facilitate comparisons between different quantities. Its continued relevance underscores its practical value.

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In electrical systems, a conductor designated with a particular hue typically signifies a specific function. This conductor often serves as the primary carrier of electrical current from the power source to a device or circuit. For example, it frequently connects to the positive terminal of a power supply. This color-coding convention aids in consistent circuit identification and reduces the potential for wiring errors.

The use of this designated conductor offers several advantages, including enhanced safety during installation, maintenance, and troubleshooting. Its consistent application across various electrical systems simplifies the identification of energized conductors. Historically, its implementation became a standard practice to mitigate the risk of electrical shock and to improve the reliability of electrical connections.

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The fractional representation of five thirtieths can be expressed as a percentage by converting the fraction to a decimal and subsequently multiplying by 100. Simplifying the fraction 5/30 yields 1/6. Dividing 1 by 6 results in a decimal approximation of 0.1667. Multiplying 0.1667 by 100 converts it to a percentage, which is approximately 16.67%. Therefore, the equivalent percentage is approximately 16.67%.

Understanding fractional percentages is crucial in various applications, including financial calculations, statistical analysis, and everyday problem-solving. The ability to accurately convert fractions to percentages allows for clear and concise communication of proportions and ratios. This conversion facilitates comparisons between different quantities and aids in interpreting data presented in fractional forms.

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The ratio of eighteen to twenty represents a proportional relationship. This relationship can be expressed in various forms, including a fraction, a decimal, and a percentage. As a fraction, it is written as 18/20. Converting this fraction involves dividing eighteen by twenty, which results in the decimal 0.9. Multiplying the decimal by one hundred yields the percentage equivalent, which is 90%. For example, if a student answers eighteen questions correctly on a twenty-question quiz, their score would be 90%.

Understanding this proportional relationship is vital in many fields, including education, finance, and statistics. In education, it provides a clear indication of performance, allowing educators to assess student comprehension and identify areas needing improvement. In finance, similar calculations are used to determine profit margins, investment returns, and debt ratios. Historically, the understanding of proportions has been crucial for trade, navigation, and scientific advancement, enabling precise measurements and calculations for various practical applications.

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