Final answer:
Percentages are ratios based on the same dimensional quantity, where the dimensional quantity is canceled out and no longer exists in the percentage.
Step-by-step explanation:
The answer to your question is a. Same. Percentages are ratios based on the same dimensional quantity. When we calculate percentages, the dimensional quantity is canceled out and no longer exists in the percentage. This is because percentages compare a part to a whole and the dimensional quantity is the same.
For example, if we have a rectangle and we want to find the percentage of its area that is shaded, we would compare the shaded area to the total area of the rectangle. In this case, the dimensional quantity (area) is the same for both the shaded area and the total area, so it cancels out and we are left with a dimensionless quantity, which is the percentage.