To find the percentage difference between two numbers, we first need to calculate the absolute difference between them. In this case, the absolute difference between 38 and 48 is 10.

Next, we need to find the average of the two numbers. The average of 38 and 48 is (38+48)/2 = 43.

Now, we can calculate the percentage difference by dividing the absolute difference by the average and multiplying by 100. So, the percentage difference between 38 and 48 is:

|38-48| / ((38+48)/2) x 100
= 10 / 43 x 100
= 23.26%

Therefore, the percentage difference between 38 and 48 is 23.26%. This means that 48 is 23.26% greater than 38.