Many people do understand what percentage is about.
If you see a sales offer with 50% discount, you will know that it is cheaper by half.
If the offer is with 40% less, you will also realise that is a good deal since it is almost half the original price.
But what is this percentage in detail?
A mark of 4 / 5 is reflected as a fraction.
A learned maths person will understand that it is (4 /5) x 100 = 80%
If you tell a student that he achieved 50 marks. Is that enough?
The information will not be enough as the total score is not known (unless using the default told before hand).
Thus a mark of 50 upon 50, and a mark of 50 upon 100 means different story altogether.
I believe you will agree totally!
A percentage will always reflect better information since 80% means 80 / 100.
The base of 100 is taken as the default.
The actual base number is immaterial in this matter.
An information of 50 marks compared to 50% showed the power of using percentage.
For absolute marks, you need to tell the total marks to form a complete message.
Using percentage, the fraction part of the calculation can be ignored.
Percentage and fraction are related. But percentage used a common base number (100) to commonise the value.
For comparison sake, percentage, thus stand a more proper way to tell the result.
Is it easy to tell the closeness between 49 / 56 and 46 / 56,
or is it easier to tell between 78% and 81% ?
The answer is obvious, I hope.
Maths is interesting, and mastering simple concept makes maths learning even more interesting.