38/60 as a percentage is 63.33%. This number tells you how much of a whole 38 parts out of 60 represent when you look at it in terms of 100.
The fraction 38/60 can be simplified to 19/30, which still gives the same percentage. Seeing it as a percent makes it easier to compare with other values that are already expressed out of 100.
In everyday situations, a result of 63.33% might represent a test score, a discount, or the portion of a group that meets a certain condition. Knowing the percentage helps you quickly understand the size of the part relative to the whole.