Why did Netflix adopt the Lucifer series?

Fox said the statistics for Lucifer Season 3 were not that good, so they had to stop. Why did Netflix take the series?

Because fans want to see it further and Amazon might have had more money for it.

If the statistics go down, it makes no economic sense to take over anything

After dropping out, the series's fans, cast and crew went out of their way to save them (Twitter hashtags and online petitions) and then Netflix took them over a short time later.

Netflix likes to save small film crews from going out if they see potential in a series. Provided you get the associated rights.