Express 23/100
as a percentage.
The Correct Answer and Explanation is:
Of course. Here is the answer and a detailed explanation.
Answer: 23%
Explanation
To express the fraction 23/100 as a percentage, it is helpful to first understand what the term “percent” signifies. The word “percent” is derived from the Latin phrase per centum, which means “per hundred” or “out of one hundred.” Consequently, a percentage is simply a way of representing a fraction or a ratio with a denominator of 100.
The fraction given in the problem is 23/100. This fraction already has a denominator of 100, which makes the conversion to a percentage very direct. The fraction 23/100 literally means “23 parts out of a total of 100 parts.” By the definition of a percentage, this is precisely what 23 percent (23%) represents. The numerator of a fraction with a denominator of 100 is the percentage value.
For a more general method that applies to any fraction, the conversion is performed by multiplying the fraction by 100. The result is then expressed with the percent symbol (%). Applying this method to the given fraction:
(23 / 100) × 100
In this calculation, the 100 in the multiplier and the 100 in the denominator of the fraction cancel each other out, leaving just the numerator, 23.
Another way to approach this is to first convert the fraction to a decimal. To convert 23/100 to a decimal, you divide the numerator (23) by the denominator (100):
23 ÷ 100 = 0.23
Once you have the decimal form, you can convert it to a percentage by multiplying by 100, which is equivalent to moving the decimal point two places to the right.
0.23 × 100 = 23
After this calculation, the percent symbol is added. All these methods consistently show that the fraction 23/100 is equivalent to 23%.
