You have to make a proportion:
[tex]\frac{part}{whole} = \frac{part}{whole}[/tex]
We know that there are 360 degrees (whole) in a circle and the shaded region is 106 degrees (part)
The other proportion will be x over 100, since the whole of percent is always 100 and we are looking for the part.
Look at the image below for the proportion
You get
10600 = 360x
Divide 360 to both sides to isolate x
10600/360 = 360x/360
x= 29.4444
So...
29%
Hope this helped!
