25% of 1 million =
The Correct Answer and Explanation is:
To calculate 25% of 1 million, we follow these steps:
Step 1: Understanding the Percentage
The percentage symbol (%) represents a part of 100. So, 25% means 25 out of every 100, or 25/100 in fractional form.
Step 2: Converting the Percentage to a Decimal
To convert the percentage to a decimal for easier multiplication, divide 25 by 100:
[
25\% = \frac{25}{100} = 0.25
]
Thus, 25% is equivalent to 0.25 in decimal form.
Step 3: Multiplying by 1 Million
Now, to find 25% of 1 million, multiply 1 million (which is 1,000,000) by 0.25:
[
1,000,000 \times 0.25 = 250,000
]
Step 4: Final Answer
So, 25% of 1 million is 250,000.
Explanation:
This process involves understanding how percentages work and using a straightforward formula:
[
\text{Percentage of a number} = \text{Number} \times \text{Percentage as a Decimal}
]
The decimal conversion simplifies the calculation by removing the percentage symbol. When you multiply the number by the decimal equivalent of the percentage, the result is the proportionate value of the percentage of that number. This method applies to any percentage calculation, whether the percentage is small, like 5%, or large, like 90%.
For example, to calculate 10% of any number, you’d multiply that number by 0.10 (which is 10% in decimal form). The same method applies to more complex percentage calculations, such as 12.5% or 75%. Understanding this simple process is fundamental in handling any percentage-based problem in fields ranging from finance to nursing, where quick percentage calculations often guide decision-making and assessments.
In this case, calculating 25% of 1 million, which is 250,000, is a useful exercise for reinforcing the concept of percentages and their practical applications.