Step 1 :Let's denote the number we are looking for as x. According to the problem, x decreased by 20% of itself is equal to 120. This can be written as an equation: \(x - 0.2x = 120\).
Step 2 :We can solve this equation to find the value of x.
Step 3 :The solution to the equation is 150, which means the original number is 150.
Step 4 :Final Answer: The original number is \(\boxed{150}\).