If 1% is equivalent to 1/100, how is 92.5% written in decimal form?
The correct answer and explanation is:
To convert 92.5% into decimal form, divide the percentage by 100. This is because percentages are based on a “per hundred” scale. To make the conversion, you take the given percentage (92.5%) and perform the following calculation:
92.5% ÷ 100 = 0.925
So, 92.5% is equivalent to 0.925 in decimal form.
Here’s the reasoning:
Percentages represent a part out of 100, meaning “per hundred.” When you convert a percentage to decimal form, you are essentially moving the decimal point two places to the left. For instance, if you have a percentage like 1%, you would move the decimal from 1.00 to 0.01, which equals 1/100 or 0.01. Similarly, for 92.5%, you move the decimal from 92.5 two places to the left, resulting in 0.925.
In general, to convert any percentage to decimal form, the formula is: Decimal form=Percentage100\text{Decimal form} = \frac{\text{Percentage}}{100}
Thus, 92.5% becomes 0.925. This decimal value represents the same proportion as 92.5% but in a different form. It is a standard way to express percentages in calculations, especially in mathematics, finance, and data analysis.
This method works for any percentage, whether it’s a whole number, a decimal, or even larger percentages. Converting percentages into decimals is a fundamental step in many operations like calculating discounts, interest rates, and probabilities.