Final answer:
The first number, which is 25% more than a third number, is approximately 83.33% of the second number, which is 50% more than the same third number. This is determined using a base of 100 for the third number and converting the ratio of the first to the second number into a percentage.
Step-by-step explanation:
When determining what percentage one number is of another, you can set up a ratio where the first number is the part and the second number is the whole, and then convert that ratio into a percentage. If the first number is 25% more than a third number and the second number is 50% more than the same third number, we can assume the third number to be 100 (as percentage calculations are easier with a base of 100).
Here's how the calculation would be done:
- The first number is 125 (since it's 25% more than 100).
- The second number is 150 (since it's 50% more than 100).
- To find out what percentage the first number is of the second number, we set up the ratio 125/150.
The ratio simplifies to 5/6 when divided by the greatest common divisor which is 25. To convert this to a percentage, we multiply it by 100, resulting in approximately 83.33%. Hence, the first number is approximately 83.33% of the second number.