# 25 of what number is 17

#### Understand the Problem

The question is asking to find out what number results in 17 when 25% of it is calculated. To solve this, we can set up an equation where 0.25 multiplied by the unknown number equals 17.

The number is $68$.

The final answer is ( x = 68 ).

#### Steps to Solve

1. Set up the equation

Let the unknown number be represented by $x$. Since 25% of $x$ equals 17, we can write the equation as:

$$0.25x = 17$$

1. Isolate the variable

To solve for $x$, we need to isolate it. We can do this by dividing both sides of the equation by 0.25:

$$x = \frac{17}{0.25}$$

1. Calculate the value

Now, we will calculate the right side of the equation:

$$x = \frac{17}{0.25} = 17 \times 4 = 68$$

The final answer is ( x = 68 ).

The number you are looking for is 68, which means if you take 25% of 68, you will get 17. This is a common percentage problem that finds frequent application in many real-life scenarios such as budgeting or discounts.

#### Tips

• A common mistake is to confuse percentage calculations with basic arithmetic. Always ensure you convert the percentage correctly into decimal form.
• Another mistake can be miscalculating the division by 0.25, which could lead to an incorrect value for $x$.
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