Step by step
The question
Question: write 2/7 as a percent.
27
1 Multiply by 100%
Percent means out of 100.
But 7 does not go into 100 or 1000.
100% is all of it: 1 whole.
Times 1 does not change the size.
100% = 1 whole
So we multiply by 100%.
= 27 × 100%
2 times 100 is 200.
So it is 200/7 percent.
= 2 × 1007% = 2007%
2 Divide
200 divided by 7 is 28, with 4 left over.
200 ÷ 7 = 28 r 4
The 4 left over is still divided by 7: 4/7.
So it is 28 and 4/7%.
= 2847%
Careful!
28% is not exact.
The 4 left over is part of the answer too: 4/7 more.
Careful: not 28% ✗
3 Check
Let's check.
7 times our answer should be 2 times 100%, because 7 times 2/7 is 2.
7 times 28 is 196.
7 times 4/7 is 4.
7 × 28% = 196%, 7 × 47% = 4%
196 plus 4 is 200%: 2 wholes.
So the answer is right!
196% + 4% = 200% = 2 × 100%
Let's look back.
First: multiply by 100%.
Then: divide.
Last: check.
Answer
Careful: not 28% ✗