Step by step
The question
Question: what percent of 20 is 5?
Percent means out of 100.
So we ask: 5 out of 20 is how many out of 100?
1 Write part over whole
5 is the part.
20 is the whole.
We write part over whole.
2 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.
5 times 5 is 25.
20 times 5 is 100.
25 out of 100 is 25%.
So 5 is 25% of 20.
3 Check
Let's check: is 25% of 20 really 5?
25% is 25/100.
Of means times.
To keep the numbers small, we divide the top and the bottom by 25.
That is 1/4.
20 divided by 4 is 5.
That is 5.
We get 5.
So it is right!
Let's look back.
First: write part over whole.
Then: make the bottom 100.
Last: check.