344% of what number is 34,400?
The correct answer and explanation is:
✅ Correct Answer:
To find what number 344% of it equals 34,400, we solve: 344% of x=34,400344\% \text{ of } x = 34,400
Convert the percentage to a decimal: 344%=344100=3.44344\% = \frac{344}{100} = 3.44
Now solve: 3.44×x=34,4003.44 \times x = 34,400 x=34,4003.44x = \frac{34,400}{3.44} x=10,000x = 10,000
📘 Explanation (300 words):
Percent problems often involve finding the part, the whole, or the percentage. In this case, we are given the percentage (344%) and the part (34,400), and we are asked to find the whole (the original number).
Step 1: Understand what the question is asking
“344% of what number is 34,400?” means that 34,400 is 344% of some number, and we want to find that number.
Step 2: Translate words into math
“344% of x” becomes: 344%×x=34,400344\% \times x = 34,400
To work with percentages in equations, convert them into decimals: 344%=344100=3.44344\% = \frac{344}{100} = 3.44
So now we have: 3.44⋅x=34,4003.44 \cdot x = 34,400
Step 3: Solve for xx
To isolate xx, divide both sides of the equation by 3.44: x=34,4003.44=10,000x = \frac{34,400}{3.44} = 10,000
Step 4: Check your answer
Let’s verify: 344% of 10,000=3.44×10,000=34,400344\% \text{ of } 10,000 = 3.44 \times 10,000 = 34,400
The answer checks out.
Conclusion:
The original number is 10,000. This means that if you take 344% of 10,000, you get 34,400. Understanding how to convert percentages and solve simple algebraic equations is key to solving such real-world math problems.