Step 1 :Let's denote the initial typing speed as \(initial\_value = 40\) words per minute and the final typing speed as \(final\_value = 115\) words per minute.
Step 2 :The increase in speed is calculated by subtracting the initial value from the final value, which gives us \(increase = final\_value - initial\_value = 115 - 40 = 75\) words per minute.
Step 3 :The percent increase is then calculated by dividing the increase by the initial value and multiplying by 100 to convert to a percentage. This gives us \(percent\_increase = \frac{increase}{initial\_value} \times 100 = \frac{75}{40} \times 100 = 187.5\%\).
Step 4 :Final Answer: The percent increase in the speed is \(\boxed{187.5\%}\).