Step by step
The question
Question: what percent of 36 is 9?
Percent means out of 100.
So we ask: 9 out of 36 is how many out of 100?
1 Write part over whole
9 is the part.
36 is the whole.
We write part over whole.
2 Simplify
9 and 36 can both be divided by 9.
That keeps the numbers small.
9 divided by 9 is 1.
36 divided by 9 is 4.
3 Make the bottom 100
Percent means out of 100.
4 times 25 is 100.
So we multiply the top and the bottom by 25.
25/25 is 1.
Times 1 does not change the size.
1 times 25 is 25.
4 times 25 is 100.
25 out of 100 is 25%.
So 9 is 25% of 36.
4 Check
Let's check: is 25% of 36 really 9?
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.
36 divided by 4 is 9.
That is 9.
We get 9.
So it is right!
Let's look back.
First: write part over whole.
Then: simplify.
Then: make the bottom 100.
Last: check.