What single digit percentage of a three digit number is equal to a 2 digit number using a digit of 0 thru 9 only once?

To solve this problem, we need to find a three-digit number ABC where A, B, and C are distinct digits from 0 to 9. Let's denote the two-digit number as XY, where X and Y are also distinct digits from 0 to 9. We are looking for a three-digit number where XY is a single-digit percentage of the three-digit number.

For example, if we take 12 as the two-digit number XY, then the three-digit number ABC should be such that 12 is a single-digit percentage of ABC. This means 12 should be 1% of ABC. Therefore, the three-digit number that satisfies this condition is 1200.