Step by step
The question
Question: what percent of 80 is 28?
Percent means out of 100.
So we ask: 28 out of 80 is how many out of 100?
1 Write part over whole
28 is the part.
80 is the whole.
We write part over whole.
2 Simplify
28 and 80 can both be divided by 4.
That keeps the numbers small.
28 divided by 4 is 7.
80 divided by 4 is 20.
3 Make the bottom 100
Percent means out of 100.
20 times 5 is 100.
So we multiply the top and the bottom by 5.
5/5 is 1.
Times 1 does not change the size.
7 times 5 is 35.
20 times 5 is 100.
35 out of 100 is 35%.
So 28 is 35% of 80.
4 Check
Let's check: is 35% of 80 really 28?
35% is 35/100.
Of means times.
To keep the numbers small, we divide the top and the bottom by 5.
That is 7/20.
80 divided by 20 is 4.
So it is 7 times 4, that is 28.
We get 28.
So it is right!
Let's look back.
First: write part over whole.
Then: simplify.
Then: make the bottom 100.
Last: check.