To solve the question “What is 60% of 25?” we will take you through a straightforward calculation step by step. This is a common question that many people encounter when dealing with percentages in everyday life, whether it’s budgeting, shopping discounts, or calculating grades. Understanding percentages can help you make informed decisions, so let’s delve into how to calculate it easily.
Understanding Percentages
Before we jump into the calculation, let's clarify what a percentage is. A percentage represents a fraction of 100. When we say “60%”, it means 60 out of every 100. Thus, to calculate a percentage of a number, you multiply that number by the percentage expressed as a decimal.
The Calculation Process
To find 60% of 25, we follow these steps:
-
Convert the percentage to a decimal:
To convert 60% into a decimal, we divide by 100:
[ 60% = \frac{60}{100} = 0.60 ] -
Multiply by the number:
Next, we will multiply this decimal by 25:
[ 0.60 \times 25 ]Performing the multiplication gives:
[ 0.60 \times 25 = 15 ]
Result
Therefore, 60% of 25 is 15. 🎉
A Quick Summary
To summarize the process:
- Convert 60% to decimal: (0.60)
- Multiply: (0.60 \times 25 = 15)
Step | Calculation | Result |
---|---|---|
Convert percentage to decimal | 60 / 100 | 0.60 |
Multiply by 25 | 0.60 × 25 | 15 |
Important Notes
Understanding Multiplication with Decimals:
When multiplying, ensure that you are attentive to the place value of decimals. In our calculation, we effectively treated it as a regular multiplication problem because the decimal in 0.60 does not change the method of multiplication.
Practical Applications
Knowing how to calculate percentages is useful in various real-life scenarios:
- Shopping Discounts: If an item costs $25 and is on a 60% discount, knowing how to find 60% will tell you how much you save. In this case, you would save $15.
- Finance: Calculating interest rates, discounts, and tax applications often require percentage calculations.
- Academic Performance: Students may want to know what percentage of their total marks a certain score represents.
Conclusion
Calculating percentages, such as finding 60% of 25, can be done quickly using a simple multiplication method after converting the percentage to a decimal. This skill is valuable and widely applicable in many aspects of daily life. With practice, these calculations will become second nature, allowing you to handle financial transactions, academic work, and general decision-making with confidence. 🌟