The first thing I would try is to lift the offending chemical (perfume) by using a clean, dry microfiber cloth. Before you cast off this idea as looney

bear with me.
If the cloth is spread across the surface & then weighted down a bit with a larger folded towel, you'd be surprised at the absorption qualities of microfiber. But it's important that you leave it in place for about an hour since it's wicking qualities take some time to work.
Now that the first step is done we'll proceed.
Buy a box of Mr Clean Magic Erasers. Get the white "extra strength" (or some labeling to that effect). Run some warm tap water, get the eraser completely wet, then squeeze out the excess still it stops dripping.
Gently rub it over the affected surfaces. If you take your time you'll be extremely pleased with the results. No worries about scratches or abrasions either. I use this method on the rather "rubbery" soft texture of my ThinkPads.
It truly works like a miracle. The lid on a T series ThinkPad is easily marked because of the soft touch, rubbery like coating. And yet when cleaned as described above, it's returned to like new, matte finish.
I discovered this method when a careless friend picked up my ThinkPad right after applying her hand cream. It left big white stains. Thinking I had nothing to lose, I went after it aggressively with the heavily dampened Magic Eraser. I was both shocked, and thrilled with the incredibly perfect result.
In fact the lid looks better than the day it was unboxed. As a result, I've begun using this method as part of my normal weekly laptop cleaning. Works perfectly on my aluminum MBP's & MBA's too.