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How do you find 15% of a number?

To calculate 15% of a number, you simply multiply the number by 0.150.15.

Understanding how to find 15% of a number requires a grasp of percentages and basic multiplication. A percentage represents a part of a whole, specifically a fraction out of 100. Thus, 15%15\% indicates 15 out of every 100. To convert a percentage into a decimal, you divide by 100100. For 15%15\%, this calculation is 15÷100=0.1515 \div 100 = 0.15.

With the decimal form established, you can find 15% of any number by multiplying it by 0.150.15. For example, to determine 15% of 200200, you would perform the calculation 200×0.15200 \times 0.15. The result is 3030, which means that 15%15\% of 200200 equals 3030.

Alternatively, you can break down the calculation into simpler steps. Start by finding 10%10\% of the number by dividing it by 1010. For instance, 10%10\% of 200200 is 2020. Next, calculate 5%5\% by halving the 10%10\% value. In this case, 5%5\% of 200200 is 1010. Finally, add these two results together: 2020 (from 10%10\%) plus 1010 (from 5%5\%) equals 3030. This confirms that 15%15\% of 200200 is indeed 3030.

This method is versatile and can be applied to any number, making it a valuable skill for various real-life scenarios, such as calculating discounts, interest rates, or proportions in recipes.

Answered by: Prof. Richard White
A-Level Maths Tutor
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