Determine the Percentage Value of 100/500: Step-by-Step Calculation

To solve this problem, we'll follow these steps:

• Step 1: Simplify the given fraction, if possible.

• Step 2: Convert the simplified fraction to a percentage.

Now, let's work through each step:

Step 1: Simplifying the fraction $\frac{100}{500}$ involves finding the greatest common divisor (GCD) of 100 and 500. The GCD is 100, so we divide both the numerator and denominator by 100:
$\frac{100 \div 100}{500 \div 100} = \frac{1}{5}$

Step 2: Convert the fraction $\frac{1}{5}$ to a percentage by multiplying by 100:
$\left( \frac{1}{5} \right) \times 100 = 20\%$

Therefore, the fraction $\frac{100}{500}$ expressed as a percentage is $20\%$.