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Answer :
97.5 = 19.5% of x
x = 97.5 * 100/19.5
x = 500
x = 97.5 * 100/19.5
x = 500
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Final answer:
To determine what number 97.5 is 19.5% of, we use the formula 97.5 = (19.5/100) * x and solve for 'x', finding that 97.5 is 19.5% of 500.
Explanation:
To find out what number 97.5 is 19.5% of, we set up a proportion where 19.5% is set as a fraction over 100, and 97.5 is set as the percentage of an unknown base number 'x'. The equation simplifies to 97.5 = (19.5/100) * x, which we can solve for 'x' by dividing both sides by 19.5 and then multiplying by 100. Therefore, x = 97.5 / (19.5/100), simplifying to x = 500.
This means that 97.5 is 19.5% of 500.
To convert a fraction to a percent, first convert the fraction to a decimal, and then convert the decimal to a percent. Example: 3/4 = 0.75 = 75%.
