Finding the demographics of Facebook page 'Likers'

This one came up today - how do you find demographics of a page in Facebook, if it's not your own page?

This is one way to do it.

Create a dummy ad, pointing to any url at this Facebook Ads Create page -  (you're not actually going to buy any ads)

Select the page subject as an interest - to demonstrate I've picked Shakira, the world's most liked person on Facebook

Go through changing the age and gender, to see how many fans there are at each level.

Here are the results for Shakira in the UK - it seems to make sense.

(Anyone else know a simpler, free way?)

Note - this may technically be the demographics of people who list Shakira as an interest, rather than page fans, but even so it must be a good approximation of their demographics