60/100 = 60%
A value of 60% shows up in everyday life when a store advertises a discount or a weather forecast gives the chance of rain. It can also describe how much of a task is finished, such as being 60% done with a book.
To picture 60%, imagine 100 small squares with 60 shaded in. A quick estimate is a little more than half, since half of 100 is 50.
One common point of confusion is treating 60% as the same as 60 out of 60. It means 60 out of every 100, so the whole amount matters when you use it in a real situation.