Trevor has \( \$ 600 \) to spend on shopping, 25 percent of which he spent to buy groceries. If he budgets 30 percent of the remaining amount for clothes, allots \( \$ 120 \) for cooking utensils and spends the rest on gaming accessories, what percentage of the original \( \$ 600 \) did he spend on gaming accessories? (Input your answer without the \( \% \) sign)

First, we calculate how much Trevor spent on groceries. He spent 25% of his total budget of \( \$600 \): \[ \text{Amount spent on groceries} = 0.25 \times 600 = 150 \] Next, we find the remaining amount after buying groceries: \[ \text{Remaining amount} = 600 - 150 = 450 \] Trevor budgets 30% of the remaining amount for clothes: \[ \text{Amount spent on clothes} = 0.30 \times 450 = 135 \] Now, we calculate the remaining amount after spending on clothes: \[ \text{Remaining amount after clothes} = 450 - 135 = 315 \] Trevor allots \( \$120 \) for cooking utensils: \[ \text{Remaining amount after cooking utensils} = 315 - 120 = 195 \] This remaining amount of \( \$195 \) is spent on gaming accessories. Now, we need to find out what percentage of the original \( \$600 \) this amount represents: \[ \text{Percentage spent on gaming accessories} = \left( \frac{195}{600} \right) \times 100 \] Calculating this gives: \[ \frac{195}{600} = 0.325 \] \[ 0.325 \times 100 = 32.5 \] Thus, the percentage of the original \( \$600 \) that Trevor spent on gaming accessories is: \[ \boxed{32.5} \]