Step by step
The question
Question: what percent of 60 is 75?
Percent means out of 100.
So we ask: 75 out of 60 is how many out of 100?
1 Write part over whole
75 is the part.
60 is the whole.
We write part over whole.
2 Simplify
75 and 60 can both be divided by 15.
That keeps the numbers small.
75 divided by 15 is 5.
60 divided by 15 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.
5 times 25 is 125.
4 times 25 is 100.
125 out of 100 is 125%.
So 75 is 125% of 60.
4 Check
Let's check: is 125% of 60 really 75?
125% is 125/100.
Of means times.
To keep the numbers small, we divide the top and the bottom by 25.
That is 5/4.
60 divided by 4 is 15.
So it is 5 times 15, that is 75.
We get 75.
So it is right!
Let's look back.
First: write part over whole.
Then: simplify.
Then: make the bottom 100.
Last: check.