Step by step
The question
Question: a circle graph has a 72° slice for bike: what percent bike?
bike: 72°
Here is the slice.
72° of the 360° circle.
1 Angle over 360
The slice is 72 out of 360 degrees.
72 and 360 can both be divided by 72: 1/5.
= 72360 = 72 ÷ 72360 ÷ 72 = 15
Careful!
Degrees are out of 360, not out of 100.
Careful: not 72% ✗
2 As a percent
Percent means out of 100.
1/5 times 100% is 20%.
= 15 × 100% = 20%
3 Check
Let's check: 20% of 360 degrees is 72°, the slice.
So the answer is right!
20% of 360 = 72°
Let's look back.
First: angle over 360.
Then: as a percent.
Last: check.
Answer
= 15 × 100% = 20%