28 is 35% of what number?
The Correct Answer and Explanation is:
To solve the problem “28 is 35% of what number?”, we need to express the relationship between 28 and the unknown number using an equation. Here’s how we can approach this:
Step 1: Understanding the Problem
The question asks for the number of which 28 is 35%. This can be represented as:
[
28 = 35\% \times X
]
Where ( X ) is the unknown number that we are solving for.
Step 2: Convert Percentage to Decimal
To solve the equation, we first need to convert 35% into a decimal. A percentage is simply a fraction with 100 as the denominator, so:
[
35\% = \frac{35}{100} = 0.35
]
This means the equation becomes:
[
28 = 0.35 \times X
]
Step 3: Solve for ( X )
Now, we need to isolate ( X ) on one side of the equation. To do this, divide both sides of the equation by 0.35:
[
X = \frac{28}{0.35}
]
Step 4: Perform the Division
Next, divide 28 by 0.35. When you perform the division:
[
\frac{28}{0.35} = 80
]
So, the unknown number ( X ) is 80.
Step 5: Check the Answer
To verify the solution, we can check if 28 is indeed 35% of 80:
[
0.35 \times 80 = 28
]
Since this is correct, our solution is validated.
Final Answer
Thus, the number that 28 is 35% of is 80.
Conclusion
In summary, we solved this problem by converting the percentage into a decimal, setting up an equation, and solving for the unknown number. By following these steps, we can calculate the original number whenever we are given a percentage of it. This process involves basic algebra and understanding of how percentages work in relation to a whole.