17 is 25% of what number?
Understand the Problem
The question is asking for a number such that 17 is 25% (or a quarter) of that number. We can approach this by setting up an equation where we find the unknown number based on this percentage.
Answer
$68$
Answer for screen readers
The unknown number is $68$.
Steps to Solve
- Set up the equation
We start by letting the unknown number be represented by $x$. Since 17 is 25% of $x$, we can express this relationship as:
$$ 0.25 \cdot x = 17 $$
- Solve for $x$
To find $x$, we need to isolate it on one side of the equation. We can do this by dividing both sides of the equation by 0.25:
$$ x = \frac{17}{0.25} $$
- Calculate the value
Now, we calculate the right side:
$$ x = 17 \div 0.25 $$
- Result
This simplifies to:
$$ x = 68 $$
The unknown number is $68$.
More Information
This means that if you take 25% of $68$, you will get $17$. It demonstrates how percentages can be converted into an equation to solve for an unknown quantity.
Tips
- Mixing up the percentage interpretation: Remember that 25% means 0.25; be cautious in translating percentages to their decimal forms.
- Forgetting to divide when isolating $x$: Ensure to perform the division correctly when moving terms across the equation.