Identify the percent, amount, and base in this problem What is 15% of 60?
The Correct Answer and Explanation is:
Answer:
- Percent: 15%
- Base: 60
- Amount: 9
To solve the problem “What is 15% of 60?” we need to identify three key components: the percent, the base, and the amount. Understanding how these elements work together is crucial in solving percentage problems accurately.
The percent is the part that tells us how much out of 100. In this case, the percent is clearly stated as 15%. A percent is always based on 100, so 15% means 15 out of every 100.
The base refers to the total or whole amount that the percentage is being taken from. In the problem, the base is 60. The question asks “15% of 60”, so 60 is the quantity from which we are taking 15%.
The amount is the result we get when we calculate the percentage of the base. To find this, we convert the percent to a decimal and multiply it by the base.
So, we first convert 15% to a decimal:
15% = 15 ÷ 100 = 0.15
Next, we multiply the decimal by the base:
0.15 × 60 = 9
So, the amount is 9. This means that 15% of 60 is 9.
Understanding these three components helps in solving all kinds of percentage problems. The percent tells us the rate, the base tells us what whole the rate is applied to, and the amount is the part or result. These relationships are consistent and can be used in different formats of percentage problems. Whether you are finding the percent, the base, or the amount, knowing how these pieces relate to each other through multiplication and division allows you to solve any problem with confidence.
