Step by step
The question
Question: 33 is 11% of what number?
11% of ? = 33
We write it like this: 11% of the number is 33.
33 is a part.
The whole number is what we want.
? = the whole number
Careful!
Many people work out 11% of 33.
But 33 is not the whole.
It is only 11% of it.
Careful: not 11% of 33 ✗
1 Find 1%
11% is 11 lots of 1%.
So we find 1% first.
11% = 11 × 1%
1% is 33 divided by 11: 3.
1% of ? = 33 ÷ 11 = 3
2 Find 100%
The whole number is 100%: 100 lots of 1%.
100% = the whole
3 times 100 is 300.
100% of ? = 3 × 100 = 300
So 33 is 11% of 300.
3 Check
Let's check: is 11% of 300 really 33?
11% is 11/100.
Of means times.
11% of 300 = 11100 × 300
300 divided by 100 is 3.
11 times 3 is 33.
= 11 × 3 = 33 (300 ÷ 100 = 3)
We get 33.
So it is right!
Let's look back.
First: find 1%.
Then: find 100%.
Last: check.
Answer
100% of ? = 3 × 100 = 300