What percent of 6.6 is 28.71?
The Correct Answer and Explanation is:
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Correct Answer:
To find what percent 28.71 is of 6.6, use the formula:Percentage=(28.716.6)×100\text{Percentage} = \left( \frac{28.71}{6.6} \right) \times 100Percentage=(6.628.71)×100Percentage=4.35×100=435%\text{Percentage} = 4.35 \times 100 = 435\%Percentage=4.35×100=435%
Explanation
To determine what percent one number is of another, you compare the two using division and then convert the result into a percentage by multiplying by 100. In this case, the question asks: “What percent of 6.6 is 28.71?” This means we are comparing 28.71 to 6.6.
We begin by dividing 28.71 by 6.6:28.71÷6.6=4.3528.71 ÷ 6.6 = 4.3528.71÷6.6=4.35
This quotient tells us how many times larger 28.71 is compared to 6.6. To express this as a percentage, we multiply by 100:4.35×100=435%4.35 × 100 = 435\%4.35×100=435%
So, 28.71 is 435% of 6.6. This means that 28.71 is more than four times greater than 6.6. When a percentage exceeds 100%, it indicates that the first number is greater than the second. In this case, since the result is 435%, 28.71 is 4.35 times the value of 6.6.
Understanding this concept is helpful in many real-world contexts. For example, if you bought a product for $6.60 last year and now it’s priced at $28.71, the price has increased by 435%, showing a substantial rise. Or, if a company expected 6.6 units of something but received 28.71 instead, they received far more than expected.
This calculation highlights the relative size of two values and is a fundamental concept in percentages used across finance, business, and everyday life. The key takeaway is to divide the part (28.71) by the whole (6.6) and then multiply by 100 to find the percentage.
