What percent of 25 is 20
The Correct Answer and Explanation is:
To find what percent of 25 is 20, you can set up the following equation:
[
\frac{20}{25} \times 100 = \text{Percent}
]
- Divide 20 by 25:
[
\frac{20}{25} = 0.8
] - Multiply the result by 100 to convert it to a percentage:
[
0.8 \times 100 = 80\%
]
So, 20 is 80% of 25.
Detailed Explanation:
Percentages are a way of expressing a number as a fraction of 100. In this problem, we are asked to determine what percentage 20 is of 25. To solve this, the key is recognizing that this type of problem is essentially asking for a proportion: “What fraction of 25 is 20?”
Step-by-Step Process:
- Set up the equation:
To express 20 as a percentage of 25, you need to compare the two numbers. This is done by dividing the smaller number (20) by the total or reference number (25). The result will give you a decimal value that represents how much 20 is relative to 25. - Convert the decimal to a percentage:
Once you have the decimal, multiply it by 100 to convert it into a percentage. This is because a percentage means “per hundred,” and multiplying by 100 shifts the decimal two places to the right, turning it into a proper percentage. - Practical interpretation:
In practical terms, this result means that 20 represents 80% of 25. If you were working with money, for example, and someone asked you, “What percent of $25 is $20?” the answer would be the same: 80%. This kind of calculation is common in various scenarios, such as determining discounts, finding part of a whole, or comparing values in everyday situations. - Verification:
To check your work, you can reverse the process. If 20 is 80% of 25, multiplying 25 by 80% (or 0.80) should give you back 20:
[
25 \times 0.80 = 20
]
This confirms that the percentage calculation is correct.