The problem requires us to find the percentage such that $x\%$ of $320$ is equal to $199$. We need to round our answer to the nearest tenth.

1. Problem Description

The problem requires us to find the percentage such that $x\%$ of $320$ is equal to $199$. We need to round our answer to the nearest tenth.

2. Solution Steps

We are given that $x\%$ of $320 = 199$. We can write this as an equation:

$\frac{x}{100} \times 320 = 199$

To solve for $x$, we can multiply both sides by $100$:

$320x = 19900$

Now, we can divide both sides by $320$:

$x = \frac{19900}{320}$

$x = \frac{1990}{32}$

$x = 62.1875$

Now, we need to round this to the nearest tenth. The digit in the hundredths place is $8$, which is greater than or equal to $5$, so we round up.

$x \approx 62.2$

3. Final Answer

62.2