Final answer:
20.25 is 112.5% of the number 18. The problem is solved by setting up and solving the equation 1.125x = 20.25, where x is the number we're trying to find.
Step-by-step explanation:
The question asks to find the original number when 20.25 is given as 112.5% of that number. To solve this problem, you can set up the equation 1.125x = 20.25, where 1.125 represents 112.5% in decimal form, and x is the number we're trying to find. To find x, divide both sides of the equation by 1.125:
x = 20.25 / 1.125
x = 18
Therefore, 20.25 is 112.5% of 18, which means the correct answer is option a) 18.