To understand the percentage difference between two numbers, we first need to know what percentage means. Percentage is a way of expressing a number as a fraction of 100. For example, 50% means 50 out of 100, or 0.5 as a decimal.

Now, let's look at the two numbers we have been given: 45 and 50. To find the percentage difference between them, we need to first find the absolute difference between the two numbers. Absolute difference means the difference between two numbers without considering their signs. In this case, the absolute difference between 45 and 50 is 5.

Next, we need to find the average of the two numbers. The average of 45 and 50 is (45+50)/2 = 47.5.

Now, we can find the percentage difference by dividing the absolute difference by the average and multiplying by 100. So, the percentage difference between 45 and 50 is:

(5/47.5) x 100 = 10.53%

Therefore, the percentage difference between 45 and 50 is 10.53%. This means that 50 is 10.53% greater than 45.