It is the result of finding a certain percent of a number.
A. Rate
B. base
C. percentage
D. decimal
The correct answer and explanation is:
The correct answer is C. percentage.
A percentage refers to a portion of a whole expressed in terms of 100. When finding a certain percent of a number, the percentage represents the part of the total value. For instance, if you’re asked to find 20% of 50, you would multiply 50 by 0.20 (the decimal equivalent of 20%). The result, 10, represents 20% of 50.
To explain in more detail, the term “percentage” comes from the Latin word “per centum,” meaning “by the hundred.” A percentage can be converted into a fraction or a decimal by dividing the percentage value by 100. For example, 25% can be written as the fraction 25/100, or as a decimal, 0.25. This conversion makes it easier to apply percentage calculations.
The basic formula to calculate a percentage of a number is:
Percentage of a number = (Percentage / 100) × Number.
When dealing with percentages, it’s also crucial to understand the relationship between the base, rate, and percentage. The base is the number you’re calculating the percentage of, and the rate is the percentage itself (in decimal form). For example, if you want to calculate 30% of $200, the base is $200, and the rate is 0.30 (30% as a decimal). The calculation would be:
30% of $200 = (0.30) × 200 = $60.
In this example, $60 is the percentage value of $200 when 30% is taken.
In summary, when you’re finding a certain percent of a number, the result is a percentage of that number, which is represented as a portion or fraction of the base value.