The number is staying the same

I have been working out consistently for about two months, and dieting for about a month.my diet has been me eating no junk,no unhealthy snacks, and staying well below my recommended calorie limit for my height and weight.my body fat on my sides,neck,and chest and basically everywhere is noticeably going down.however my body weight is staying the same,why is this?is the fat simply being replaced with muscle?