Step by step
The question
Question: a circle graph has a 54° slice for green: what percent green?
green: 54°
Here is the slice.
54° of the 360° circle.
1 Angle over 360
The slice is 54 out of 360 degrees.
54 and 360 can both be divided by 18: 3/20.
= 54360 = 54 ÷ 18360 ÷ 18 = 320
Careful!
Degrees are out of 360, not out of 100.
Careful: not 54% ✗
2 As a percent
Percent means out of 100.
3/20 times 100% is 15%.
= 320 × 100% = 15%
3 Check
Let's check: 15% of 360 degrees is 54°, the slice.
So the answer is right!
15% of 360 = 54°
Let's look back.
First: angle over 360.
Then: as a percent.
Last: check.
Answer
= 320 × 100% = 15%