Final Answer:
The final intensity after a 12.5% reduction from the initial intensity is 87.5%.
Step-by-step explanation:
To calculate the final intensity after a percentage reduction, we use the formula:
Final Intensity = Initial Intensity × (100% - Percentage Reduction)
Substituting the given values, where the initial intensity is 100% and the percentage reduction is 12.5%, we get:
Final Intensity = 100% × (100% - 12.5%)
Solving this expression yields the final answer of 87.5%. This means that the intensity has decreased by 12.5% from the initial value.
Understanding percentage reductions is crucial in various fields, such as finance, where it is used to calculate discounts, or in science, when measuring the decrease in intensity of light or other signals. It provides a clear representation of the relative change from an initial value.
In this context, the reduction from 100% to 87.5% signifies a proportional decrease in intensity, and this concept is widely applicable in diverse quantitative scenarios.