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What multiplication is it? Arnold Volume shader: scatter channel

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it says in the docs:

"Scatter channel to read from the volume object. This acts as a multiplier on the scatter color, to texture the color of the volume."



What multiplication is that? 1 (colour white) * density?

There is a big mess in the bottom of the cloud so I'd like to know what is the formula used? what's multiplied by what?

If my volume is 9 times denser and the colour is 1 (white), does it mean the denser the brighter? 



I've included comparison (top: empty channel, bottom: channel is density)







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