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

$68$

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.

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