How do you clean the braided magsafe cable?

So after 2 years of dirt, finger grease and coffee spills the cable looks brown. Any suggestions on how to clean it?

Currently plan: use some detergent and clean it with a toothbrush and let it dry for a few days.

So after 2 years of dirt, finger grease and coffee spills the cable looks brown. Any suggestions on how to clean it?

Currently plan: use some detergent and clean it with a toothbrush and let it dry for a few days.