Would it be helpful to check body fat percentage rather than weight while on a diet?

My weight isn't dropping as much as I expected since I started exercising.

At first, I was unmotivated, but when I tried on the clothes, I noticed some small differences.

I felt that it is difficult to know all the changes in the body based on weight alone.

Would checking body fat percentage and muscle mass together allow for a more accurate view of the weight loss process?

It would also be necessary not to obsess too much over a single number.