To solve this problem, we need to determine the value of x, which represents the percentage of gnomes taken for use by the forest owner.
Let's break down the information given:
Number of gnomes in Westerville woods: 20
Number of gnomes in Ravenswood forest: 4 * 20 = 80 (four times as many as Westerville woods)
Number of gnomes remaining in Ravenswood forest after x% are taken: 48
We can set up the equation as follows:
Number of gnomes in Ravenswood forest - (x/100) * Number of gnomes in Ravenswood forest = Number of gnomes remaining in Ravenswood forest
80 - (x/100) * 80 = 48
Let's simplify and solve for x:
80 - 0.8x = 48
To isolate x, we subtract 80 from both sides of the equation:
80 - 0.8x - 80 = 48 - 80
-0.8x = -32
Finally, we divide both sides of the equation by -0.8 to solve for x:
x = -32 / -0.8
x = 40
The value of x is 40.
#### 40
The answer is: 40
Below is a math problem. Provide a detailed, step-by-step solution.

### Problem:
The Ravenswood forest has four times as many gnomes as the Westerville woods. If there are 20 gnomes in Westerville woods, 48 gnomes would remain in Ravenswood forest if x% of the gnomes are taken for use by the forest owner. What is the value of unknown variable x?

### Answer:
