Step by step
The question
Question: 26 is 13% of what number?
13% of ? = 26
We write it like this: 13% of the number is 26.
26 is a part.
The whole number is what we want.
? = the whole number
Careful!
Many people work out 13% of 26.
But 26 is not the whole.
It is only 13% of it.
Careful: not 13% of 26 ✗
1 Find 1%
13% is 13 lots of 1%.
So we find 1% first.
13% = 13 × 1%
1% is 26 divided by 13: 2.
1% of ? = 26 ÷ 13 = 2
2 Find 100%
The whole number is 100%: 100 lots of 1%.
100% = the whole
2 times 100 is 200.
100% of ? = 2 × 100 = 200
So 26 is 13% of 200.
3 Check
Let's check: is 13% of 200 really 26?
13% is 13/100.
Of means times.
13% of 200 = 13100 × 200
200 divided by 100 is 2.
13 times 2 is 26.
= 13 × 2 = 26 (200 ÷ 100 = 2)
We get 26.
So it is right!
Let's look back.
First: find 1%.
Then: find 100%.
Last: check.
Answer
100% of ? = 2 × 100 = 200