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Answer the following questions.

(a) 76.8% of what number is 32.64?
(b) 436% of 7.25 is what?
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Final answer:

To find 76.8% of a number, divide by 100 and multiply by 76.8. To find a percentage of a value, multiply the value by the percentage and divide by 100.


Step-by-step explanation:

(a) To find the number that corresponds to 76.8% of a given value, you can simply divide that value by 100 and then multiply by 76.8. Let's represent the unknown number as x. So, the equation becomes: 0.768x = 32.64. To solve for x, divide both sides of the equation by 0.768, giving x = 42.5.

(b) To find a certain percentage of a value, you can multiply the value by the percentage and divide by 100. In this case, we want to find 436% of 7.25. So, 436% is equivalent to 436/100 = 4.36 in decimal form. Multiplying 4.36 by 7.25 gives us the answer: 31.61.


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