9 is 1/3% of what number?? I need help
The Correct Answer and Explanation is:
To find out what number 9 is 1/3% of, we use the following basic percent formula: Part=Percent×Whole\text{Part} = \text{Percent} \times \text{Whole}
In this case:
- Part = 9
- Percent = 1/3% = \frac{1}{3} % = \frac{1}{3} \div 100 = \frac{1}{300}
- We need to find the Whole, which is the number that 9 is 1/3% of.
So we rearrange the formula to solve for the whole: Whole=PartPercent=91300=9×300=2700\text{Whole} = \frac{\text{Part}}{\text{Percent}} = \frac{9}{\frac{1}{300}} = 9 \times 300 = \boxed{2700}
Explanation
To understand this problem, it’s important to know how percentages work and how to convert them into decimals or fractions. A percent means “per hundred” — for example, 25% means 25 out of every 100, or 25/100 = 0.25.
In your case, we are told that 9 is 1/3% of some number. That means if you take 1/3 percent of a number, you will get 9.
Step 1 is converting 1/3% into a usable form. Since 1% is equal to 1/100, then 1/3% is: 13%=13÷100=1300\frac{1}{3} \% = \frac{1}{3} \div 100 = \frac{1}{300}
So we now ask: 9 is 1/300 of what number? In math, “of” usually means multiplication. But when you’re given the result (9) and the percentage (1/300), you divide to find the whole number: Whole=PartPercent=91300=9×300=2700\text{Whole} = \frac{\text{Part}}{\text{Percent}} = \frac{9}{\frac{1}{300}} = 9 \times 300 = 2700
This tells us that 9 is 1/3% of 2700.
You can check your answer by calculating 1/3% of 2700: 1300×2700=9\frac{1}{300} \times 2700 = 9
That confirms the answer is correct. This kind of problem shows up in finance, statistics, and even medicine — anywhere percentages are used to describe parts of a whole. Understanding how to convert and apply percentages is a vital math skill.
